Not how it works. Someone's sentience comes from the cells contained within the brain. There is not metaphysical mind, which is what madara's eye based genjutsu directly affects for example. And again, this same logic can be applied to the soul as well:
(As I said above, what a soul is varies depending the verses included. For example, if you had a fight between soul eater character and something like dragon ball character, it's hard to say that the souls are equatable despite sharing name. [Least we equalize 2-A reality warping to fireballs because "it's magic"]). But say soul eater, the soul is what happens when someone has a mind and a body. If we can give a metaphysical mind, why not a soul?
Blackholes are hardly understood, but if there is a coding information behind reality it ain't binary for sure.
No. Fate manipulation is most often the absolute end of something, unchangeable in nature. An example would be plot manipulation, which is literally fate with a bit of fourth wall thrown in. Manipulating someones fate assumes that there is a predestined ending to them, instead of the world around them being a bunch of coincidences and butterfly effects created by their choices.
But seriously, the idea of someone automatically resisting hax because they haven't shown or been proved to be affected by such things is... bad. Here verse equal should just apply the normal way:
Verse A claims that anything that exists has a soul, from a rock to a human.
When fighting with Verse B, they will be assumed to have a soul unless they don't fit the criteria for verse A (Nonexistent physiology is the dirst thing that comes to mind) or if Verse B makes it clear that someone is souless.
Same applies for most haxes of this nature. If fate is undoubtedly proven to not exist for a verse, verse equal will not change that.