The main difficulty I find with the claim that death leads to permanent non-existence is the fact that in an infinite amount of time, the chances of something ceasing to exist for eternity approach zero for the same reasons that one has been brought into existence in the first place, and for such a thing to be a reality, there would have to be some sort of objective law preventing an "extinguished" object, be it a consciousness, a soul, or whathaveyou from being reinitialized. Now, there's a chance that such a law could arise by chance, if one indeed goes by the belief that ALL existence is determined by an RNG down to a metaphysical level, but that also approaches the possibility of said enforcer of the law being generated intelligent to some definition, and better yet, another force being generated in order to either consciously or unconsciously attempt to undue such a law, for whatever reason. It would cause the possibilities for reality to decrease at an infinite rate, at an increasingly expanding rate if more were generated, making some things genuinely impossibly in the theoretical multiverse (assuming such exists, or if there is even a meaningful distinction to be made) even WITH changes to the laws of physics accounted for, though the significance of such an event is debatable as there are still theoretically an infinite amount of possibilities no matter how many become voided by "existence voiding machines" (for lack of a better term), even though some of those possibilities become impossible, and there would be little saying that said impossibilities won't be overwritten anyways, as absolutes haven't technically been proven yet.
Note that I'm a Catholic, though I've spent quite some time pondering the theoretical properties of a soul (or whatever is trendy to call it these days) and what such a thing even means in the breadboard that is existence. Sorry if it appears that what I'm saying is rambling, since looking at it, I think it's rambling.