How so as in scans please lol
The profiles have some examples, just check there (maybe not the best examples, I would've at least listed off the tentacle feats bouncing but eh, still beer than what the Hunters can do, especially no-name ones), but for a more visual display, this should convey how jumpy Guts is
It's from a game, but visual evidence in motion is better at conveying, and every move and action is ripped straight from the manga so none of that shit is OC. It's pretty accurate to how he moves around and if anything I'd actually say it downplays it a bit given in the manga he's leaped far larger distances at burst speed both vertically and horizontally before (Sea God Arc, look it up if you want) while in-game it's mostly quick jerking leaps.
No hunter even comes close.
Eeeeeh Ludwig has his fair share of experince fighting Guts-sized opponents who use Guts' tactics, seeing as he canonically killed so many hunters while in the Hunter's Nightmare that their bodies made a river of blood that cut through the landscape
Him being reduced to a head kinda completely incapacitated him, and then a crossbolt to the head killed him (I think it was a crossbolt anyway). They have good type 2 immortality, but the damage they take can still hinder them and in Ludwg's case, extreme head damage is lethal.
Most apostles have some wacky Type 2 as well, though not to that extent, so Guts ain't gonna be taken aback when a stab through the torso doesn't do him in, if anything that's something he'd just assume by default.
He'd need his healing if Guts chops off limbs or something as well, meanwhile Guts himself has healing in the form of fairy dust, though it's not unlimited, he has quite a bit of it and it still lets him heal grave wounds (Low-Mid Regen, the same as Ludwig's ironically). This actually enables Guts to let himself take normally lethal blows if it'd allow him to land a winning hit as he can just heal it afterward with the dust, while Ludwig can't due to regen negation.
While Ludwig might be an immense pain in the ass to kill, Guts doesn't need to kill to win, incapping is also a viable win condition, something the DS can do as it negates healing (The wounds it inflicts also come with unbearable pain due to damaging the soul, Ludwig might be fine with grotesque bodily damage, but bro hasn't experience astral wounds so I'm not sure how well he'd cope).
Eeeeeh Ludwig has his fair share of experince fighting Guts-sized opponents who use Guts' tactics, seeing as he canonically killed so many hunters while in the Hunter's Nightmare that their bodies made a river of blood that cut through the landscape
To be completely fair, Guts is far more mobile, athletic, and has more versatility than any normal hunter Ludwig has killed (assuming they're comparable to the Hunter enemies in the DLC that roam around that area, they're pretty limited in options), of which the majority were no-name fodder.
The only known Hunter worth a damn that Ludwig has fought is the Good Hunter, who obviously beats out Guts in versatility and whatnot, but we have no idea if Ludwig canonically killed him, for all we know he beat him in one try and called it a day (I'd actually wager this as if the Hunter died, the fight gets reset even if they've hit phase 2, and it makes absolutely no sense for Ludwig to go back to being a near mindless beast upon Hunter getting killed, only for him to get his ass kicked again, go through the guiding moonlight cutscene again, as if he forgot he just did all that a minute ago).
While Guts' experience with creatures like Ludwig are dealing with those
above him, not below, day in and day out. Both Guts and Ludwig have their killcounts numbering in the tens of thousands if not hundreds of thousands, but what matters more is what those kills can do, not pure numbers.
Guts also has his arm cannon which can blow giant holes through those who outstat him, meaning if Ludwig gets hit by it, which he very well might, it ain't something he'd just walk off, it'd at the very least be temporarily crippling long enough for Guts to land in some maiming his with DS. He also has a cross-bolt and bombs but they won't do much, like maybe he could take out Ludwig's eyes with the bolts and use that window of time to land some hits in while he heals but eh. Bombs are mostly useless.
Ludwig's main issue to deal with is how someone far more mobile than anything he's ever fought, has a sword that can tank anything Ludwig throws out that also inflicts inane pain and wounds that will never heal, a cannon that can one-shot those stronger than Guts, the fact Guts is legitimately more skilled than this iteration of Ludwig and has ample experience dealing with large beasts and demons who outstat him while Ludwig's experience involves mostly beating up random hunters and then dying to the only relevant hunter we know he's fought.
That's all in base though, with the armor on he becomes much stronger to the point he can damage or one-shot apostles his base couldn't even scratch (See him damaging Grunbeld, profile should have scans of this), he also becomes faster (Though not to a blitz level degree, he's still the same tier, just swifter), and will fight till he's effectively dead, and will even let himself get maimed just to get good hits in.
I'm not voting yet but ehhhh, Ludwig's most threatening thing is the energy beams he has, but they have a pretty big tell and Guts has seen weird energy swords before (Thanks Skull Knight).
Also, how does Guts' probability manip work?
Think of it as just extreme luck and contrivances, but not actually in a good way, it just prevents him from dying, mostly so he can suffer more long-term. Unironically the world hates his ass so much it won't let him die.
The answer is it's super vague though because anything to do with causality is deliberately vague as **** in Berserk to avoid plot spoilers, berserk even has a whole chapter removed from future releases because it revealed too much with how the world worked for that point in the story. We know it exists and plays into why he hasn't died 1000 times over, but causality in Berserk is pretty wild, i migh be vague as **** but we know how contrived it can be at least, just see the journey Griffith's behelit took to be with him in the right place, at the right time the exact moment leading up to becoming Femto after losing it a year prior. Guts at the moment is entwined with a behelit's journey actually, he's been carrying a behelit since the start of the manga for someone future cause, a thing that's still ongoing and was even pointed ou that's basically what he's doing a handful of chapters ago.