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The claim that Wiz is FTL is based on Wiz seeing her opponent cast to then cast something of her own, this could have happened whilst he was chanting or even after, a good evidence for FTL would be if the next sentence described the attack heading towards her followed by another sentence of her casting. For reference here
["Hmph. As expected of the Ice Witch. Crimson Laser!"
"Crystal Prison! Duke-san, please wait! Please, let's talk things out!"
The crimson ray that Duke unleashed scattered upon hitting the lump of ice that Wiz conjured in front of her.] - Volume 13 chapter 5
The claim that novice adventurers can dodge lightning is based on false info, the manga spinoff was poorly adapting this scene where Yunyun had used magic to save the adventurer and even then, I don't know how people failed to spot the slime? here
[Something aimed at Sophie's head and dropped from the tree.
"Lightning!"
Yunyun's magic hit the slime making a sneak attack at Sophie. It shivered a bit and dissolved.] - Explosion spinoff 3 chapter 3
The claim that Aqua is faster than light is based upon a retelling of something that had happened while Kazuma was gone. Aqua did not hear the latter words of the demon infront of her before she did some sort of magic to reflect his spell
["Listen to me! Listen to me, Kazuma! When we were interrogating this weird masked guy, he suddenly attacked us! He even shouted Vanir-style whatever! I deflected it with magic, but it hit Darkness and she collapsed. I counter-attacked with purification magic! Then this guy used Wiz as a shield and caused her to nearly vanish! When I decided to destroy this guy…!"] - Volume 8 Chapter 1
The claim Wiz is island level+ in attack is a misconception. Her mana reserve is only capable of supporting one [Explosion Spell] + Freeze Spell. She had used her explosion spell with Megumin, both attacking the destroyer, her attack range is barely the beginner town's size. Her random teleport with the right combination is random at best, continent level/multi or even right next door.
Wiz after using Explosion magic with Megumin and used 2 Freeze spells:
[Wiz seemed to be shouting something, but as I expected, the Coronatite went through the fence into my hands.
— And it was still burning.
"Hotttttt!"
"'Freeze'! 'Freeze'!"
"'Heal'! 'Heal'! Nah… Are you an idiot? Kazuma is usually quick witted, but you are doing the same thing even after the incident with the golem, you are actually stupid right?!"
Ugh, I hate to say this, but I couldn't rebuke Aqua's lecture!
The Coronatite which burned my hand and almost took my arm too was on the floor after Wiz helped me cool it down and knock it away.] - Volume 2 Chapter 5
["Hey Aqua, do you have any way to seal this thing? Isn't it the norm for goddess to seal the power of evil or something!?"
"I heard that before, but that's just a game setting! Hey Wiz, you have a way to deal with this right!?"
This woman who proclaimed to be something pushed the hot potato to the lich she was always bullying without hesitation. I thought Wiz wouldn't have any way, but she said…
"There is a method… But my mana is insufficient. Sorry Kazuma-san, I need your help!"
As she said, Wiz pushed her serious face before me.] - Volume 2 Chapter 5
After Wiz sent the coronatite away with [Random Teleport] by stealing mana from Kazuma, she ten asked for enough mana to use [Explosion Magic]:
["Ma, mana! Can someone share some mana with me! If I cast explosion spell at that crack, it would neutralize the impact!"
Wiz started canvassing the adventurers around us.
I grabbed Wiz in a hurry and whispered into her ears.
"Hey, Wiz! What are saying all of a sudden! The other adventurers don't know you can use drain touch! What would you do if they discovered that you are a lich! As a human, I can let them inspect me even if I use lich skills, but if they found out that Wiz is not a human, it would be the end!"
"But, I can only stop that explosion by absorbing mana…!"] - Volume 2 Chapter 5
The claim Aqua has infinite mana is also a misconception. Her stats were already revealed to guild lady, the idea she has infinite mana stems from the Kazuma's thoughts through out the series
Kazuma draining Aqua to power [Explosion]:
[As expected, no matter how rotten she was, she was still a goddess.
No matter how much I absorbed, there seemed to be no end to Aqua's mana.] - Volume 2 Chapter 5
When a trip to the guild would produce the same results as this:
["Eh? Huh~! What is with these numbers? Besides the lower than average intelligence, and luck which is pit bottom, the rest of your stats drastically exceeds the average! Especially your magic, it is abnormally high, who in the world are you…?"] - Volume 1 Chapter 1
The Claim that Aqua's durability is island level is based on scaling her compared to other characters, when in reality she can be harmed by Kazuma's fist and magic and nearly lost her hands touching water contaminated by a-bit of Han's body.
Aqua before Hans threw his body part into the water:
[Aqua shouted as she dipped her hand into the completely black hot spring in a panic.
"It burns! Wahhh, it's scalding! It's scalding my hand!"
Wiz cast Freeze multiple times into the water Aqua was sticking her hand in.
As time went by, the black murky hot spring gradually became clear.
"That'll do… But, I can't purify the water in the pipes. It'll take some time before this hot spring can be used again… Heal!"
After purifying the hot spring, Aqua cast healing magic on her scalded hand. That energetic idiot looked really depressed right now.] - Volume 4 Chapter 5
Aqua after he threw it into the water:
["Ahhh, it hurts, hot! Heal! Heal! Wiz, help me, the pipe of the last water source is going to be contaminated!"
Aqua endured the scalding water and healed her hand with magic as she asked Wiz for help.
"A, Aqua-sama! … Light of Saber!!"
Seeing this scene, Wiz chopped with her hand, using light magic to cut a part of the contaminated pipe.] - Volume 4 Chapter 5
Above is the only time Aqua directly casted heal on herself while purifying contaminated water, even though this was said by Kazuma later:
[Aqua owned a holy relic that protects her from abnormal status like poison. She and the muscle-headed Darkness should be able to defend against the poison of the Demon King's general.] - Volume 4 Chapter 5
The above is debatable, especially since she hid behind Darkness for protection.
["Hmph. As expected of the Ice Witch. Crimson Laser!"
"Crystal Prison! Duke-san, please wait! Please, let's talk things out!"
The crimson ray that Duke unleashed scattered upon hitting the lump of ice that Wiz conjured in front of her.] - Volume 13 chapter 5
The claim that novice adventurers can dodge lightning is based on false info, the manga spinoff was poorly adapting this scene where Yunyun had used magic to save the adventurer and even then, I don't know how people failed to spot the slime? here
[Something aimed at Sophie's head and dropped from the tree.
"Lightning!"
Yunyun's magic hit the slime making a sneak attack at Sophie. It shivered a bit and dissolved.] - Explosion spinoff 3 chapter 3
The claim that Aqua is faster than light is based upon a retelling of something that had happened while Kazuma was gone. Aqua did not hear the latter words of the demon infront of her before she did some sort of magic to reflect his spell
["Listen to me! Listen to me, Kazuma! When we were interrogating this weird masked guy, he suddenly attacked us! He even shouted Vanir-style whatever! I deflected it with magic, but it hit Darkness and she collapsed. I counter-attacked with purification magic! Then this guy used Wiz as a shield and caused her to nearly vanish! When I decided to destroy this guy…!"] - Volume 8 Chapter 1
The claim Wiz is island level+ in attack is a misconception. Her mana reserve is only capable of supporting one [Explosion Spell] + Freeze Spell. She had used her explosion spell with Megumin, both attacking the destroyer, her attack range is barely the beginner town's size. Her random teleport with the right combination is random at best, continent level/multi or even right next door.
Wiz after using Explosion magic with Megumin and used 2 Freeze spells:
[Wiz seemed to be shouting something, but as I expected, the Coronatite went through the fence into my hands.
— And it was still burning.
"Hotttttt!"
"'Freeze'! 'Freeze'!"
"'Heal'! 'Heal'! Nah… Are you an idiot? Kazuma is usually quick witted, but you are doing the same thing even after the incident with the golem, you are actually stupid right?!"
Ugh, I hate to say this, but I couldn't rebuke Aqua's lecture!
The Coronatite which burned my hand and almost took my arm too was on the floor after Wiz helped me cool it down and knock it away.] - Volume 2 Chapter 5
["Hey Aqua, do you have any way to seal this thing? Isn't it the norm for goddess to seal the power of evil or something!?"
"I heard that before, but that's just a game setting! Hey Wiz, you have a way to deal with this right!?"
This woman who proclaimed to be something pushed the hot potato to the lich she was always bullying without hesitation. I thought Wiz wouldn't have any way, but she said…
"There is a method… But my mana is insufficient. Sorry Kazuma-san, I need your help!"
As she said, Wiz pushed her serious face before me.] - Volume 2 Chapter 5
After Wiz sent the coronatite away with [Random Teleport] by stealing mana from Kazuma, she ten asked for enough mana to use [Explosion Magic]:
["Ma, mana! Can someone share some mana with me! If I cast explosion spell at that crack, it would neutralize the impact!"
Wiz started canvassing the adventurers around us.
I grabbed Wiz in a hurry and whispered into her ears.
"Hey, Wiz! What are saying all of a sudden! The other adventurers don't know you can use drain touch! What would you do if they discovered that you are a lich! As a human, I can let them inspect me even if I use lich skills, but if they found out that Wiz is not a human, it would be the end!"
"But, I can only stop that explosion by absorbing mana…!"] - Volume 2 Chapter 5
The claim Aqua has infinite mana is also a misconception. Her stats were already revealed to guild lady, the idea she has infinite mana stems from the Kazuma's thoughts through out the series
Kazuma draining Aqua to power [Explosion]:
[As expected, no matter how rotten she was, she was still a goddess.
No matter how much I absorbed, there seemed to be no end to Aqua's mana.] - Volume 2 Chapter 5
When a trip to the guild would produce the same results as this:
["Eh? Huh~! What is with these numbers? Besides the lower than average intelligence, and luck which is pit bottom, the rest of your stats drastically exceeds the average! Especially your magic, it is abnormally high, who in the world are you…?"] - Volume 1 Chapter 1
The Claim that Aqua's durability is island level is based on scaling her compared to other characters, when in reality she can be harmed by Kazuma's fist and magic and nearly lost her hands touching water contaminated by a-bit of Han's body.
Aqua before Hans threw his body part into the water:
[Aqua shouted as she dipped her hand into the completely black hot spring in a panic.
"It burns! Wahhh, it's scalding! It's scalding my hand!"
Wiz cast Freeze multiple times into the water Aqua was sticking her hand in.
As time went by, the black murky hot spring gradually became clear.
"That'll do… But, I can't purify the water in the pipes. It'll take some time before this hot spring can be used again… Heal!"
After purifying the hot spring, Aqua cast healing magic on her scalded hand. That energetic idiot looked really depressed right now.] - Volume 4 Chapter 5
Aqua after he threw it into the water:
["Ahhh, it hurts, hot! Heal! Heal! Wiz, help me, the pipe of the last water source is going to be contaminated!"
Aqua endured the scalding water and healed her hand with magic as she asked Wiz for help.
"A, Aqua-sama! … Light of Saber!!"
Seeing this scene, Wiz chopped with her hand, using light magic to cut a part of the contaminated pipe.] - Volume 4 Chapter 5
Above is the only time Aqua directly casted heal on herself while purifying contaminated water, even though this was said by Kazuma later:
[Aqua owned a holy relic that protects her from abnormal status like poison. She and the muscle-headed Darkness should be able to defend against the poison of the Demon King's general.] - Volume 4 Chapter 5
The above is debatable, especially since she hid behind Darkness for protection.