It the war killed everybody, including those who have moved to the hypothetical Mars-style colonies (on Earth), then yes. That would have to be a pretty intensive war, though.
It is much easier for the nuclear war on Earth to accidentally kill essentially everyone even as Mars is left alone (simply because no attacks occur on Mars at all). But I agree that this isn’t a very likely scenario.
It the war killed everybody, including those who have moved to the hypothetical Mars-style colonies (on Earth), then yes. That would have to be a pretty intensive war, though.
It is much easier for the nuclear war on Earth to accidentally kill essentially everyone even as Mars is left alone (simply because no attacks occur on Mars at all). But I agree that this isn’t a very likely scenario.