From where I’m sitting, it looks like death should not be the end in that case.
You can’t perceive the passage of time when you are dead, so you’re just going to experience dying and then immediate rebirth after the countless eons pass for that rare moment where entropy spontaneously reverses to form your mind again.
There’s no physical reason why they can’t, but there are good reasons to think that the punchline of the original thought experiment–that they are overwhelmingly more likely than “regular” brains–isn’t right.