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.
If this were meaningfully true, I think we’d remember that having happened already. If the universe has just as much infinite time before now as after now, I’d already have lived, died, and been born again. If this has happened, and I don’t remember it, what is the use of saying that that person and I are the same?
I agree it’s absurd if there’s an assumption memories are maintained. But it’s more plausible if you just forget everything and have a whole new life in the samsaric fashion.