Amodei’s general argument is this:
“my basic prediction is that AI-enabled biology and medicine will allow us to compress the progress that human biologists would have achieved over the next 50-100 years into 5-10 years.”
This may be correct, but his estimate of what is expected to be achieved in 100 years without AI is likely wildly overoptimistic. In particular, his argument for doubling of lifespan is just an extrapolation from past increase in life expectancy, which is ridiculous because progress in extending maximum human lifespan so far is exactly zero.
That is not entirely true. Some people who say “cryonics doesn’t work” mean “identity is irretrievably lost when the brain activity stops, and in the best case you will have a different person with the same memory and personality traits”. Since that argument doesn’t give any testable predictions, it cannot be disproved.