Very good point. And with very long lifespans (thousands of years), all of those low-probability events that may cause accidental death (airplane crash, getting hit by a car crossing the street, violence, etc.) may really start to add up to a not-so-low probability of at least one of them happening within your extended lifespan.

True. One can still die of disease or accidents. That’s why so many stories about immortal humans also have them making backup copies of their minds.

But it does get you to a lifespan of several thousand years, as long as you're reasonably careful. I posted sources in another comment here.

I'm surprised at how much scrolling I had to do in order to find this "little" problem.