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Whether or not momentary death is necessary for multiverse immortality depends on what view of personal identity is correct. According to empty individualism, it should not matter that you know you will die, you will still "survive" while not remember having died as if that memory was erased.
I think the point is that if extinction is not immediate, then the whole civilisation can't exploit big world immortality to survive; every single member of that civilisation would still survive in their own piece of reality, but alone.