Riful was great wasn't she... "I sincerely do not want to kill you! Only torture you until you awaken, and then we can be friends!"
I don't know Akame ga Kill apart from what I've learnt from Akame's fights on this site, so I'm don't know enough to make a revision thread. I'm asking for scans and explanations of Tatsumi's regen because it is possible the nature of his regen is different to Teresa's and there is a reason why his isn't able to regenerate from the Murasame.
If Esdeath was only semi serious so Akame being Mountain level wasn't accepted, she is still at 7-C possibly higher to Teresa's high 7-C. You said yourself in your first comment that Teresa lolstomps Akame in strength and skill. If someone is vastly stronger than you, even if you can block their sword with your own, you are still putting your force against their own to block, and the weaker person is going to come off worse.
I don't remember enough about Awakened Teresa v Priscilla to say if she could sense her or not, though by that point it didn't really matter as Teresa was so far above Priscilla to begin with. Either way, when Teresa couldn't sense Priscilla she was still able to fight her evenly, so she won't be that shocked by Akame's lack of yoki
From the speed page:
Attack Speed
The speed at which an attack moves. For example, X character is hypersonic, but he can do an attack that is a natural beam of light, the speed for the attack is different from the speed of the user, hence the attack would be lightspeed even if its user isn't.
Combat Speed
The speed at which a character can fight.
Teresa's quicksword is sub-relativistic from that Naruto Forums calc on her page, but the author forgot that the quicksword is all about majorly buffing the speed/strength of a single limb at the cost of a lack of control, and this wouldn't scale to Teresa's combat speed. Or possibly the person who put it on the profile did. Either way, I'll make a revision thread on that. Teresa's combat speed would be at least massively hypersonic+ due to being vastly superior to her previous form, but the attack speed of the quicksword would remain at sub relativistic.
The point of speed equalised is to equalise combat, movement and reaction speeds so that the fighters can actualy percieve each other moving, catch up to each otherand react to each other. Attack speed isn't equalised because its a natural result of their attack being faster than the user is. Its like when bullets move too quickly to be seen. Just because the bullet is moving at subsonic+ speeds, doesn't mean a normal human with a gun is subsonic+, and if we were to have a fight between two gun users we wouldn't equalise the speed of the bullet as otherwise they would just be able to dodge the bullet when it is shot.