I think focusing on extended lifespan misses the point though (although it's a nice side benefit).
The diseases of old age cause more suffering than everything else combined.
Seeing people I love deteriorate to a state of constant suffering is unbearable to watch. Seeing signs of ageing in myself hammers home just how helpless I am to do anything.
I don't understand why AI safety gets more attention. We're already facing our own personal dissolution from natural causes -- a real and tangible existential threat which is already claiming people in the most torturous ways possible. To be brutally honest, I'd rather die quickly in an AI takeover than suffer decades of chronic pain and dementia... and one of these scenarios seems a lot more likely than the other.
Let's get real, take responsibility, and do something about ageing.