Well I was thinking of things in terms of this quest were hax vs hax is more equivalent. this doesn't change the fact that if he cant hit you in any timeline the moron is probably going to run out of energy and from a outside point of view will just simply end up seeing him/it die due to exhaustion in a spilt instant rather then seeing him/it win in a split instant.
A good example of this would be Homura's own time loops if you fail enough times you will go batshit and die, or break all of reality.