One assumption people making such arguments implicitly assume is that such things are possible, which is not a given. It could well be that you could have infinite money, a billion scientists, and make no progress whatsoever. And I'm only referring to cancer there. Anti-aging seems even less likely.
I think there's a lot of cognitive dissonance on this topic from people like Ray Kurzweil. The overwhelming majority of increases in life expectancy over the past millennia have come from reductions in childhood mortality. It's not like people in the past just hit 40 years old and randomly keeled over. But rather people were quite unlikely to make it out of childhood. If one person dies in childhood and the other at 80, you have a life expectancy of 40 years old but it's rather misleading! In reality the average life expectancy (for those that made it out of childhood) has remained pretty similar for millennia - around 70 years. [1]
So for instance the Founding Fathers died at an average age of 72. John Adams lived to 90, and Sam Adams/Jay/Franklin/Madison died in their 80s. The only two who died before their 60s were Hamilton, who was killed in a duel, and Hancock, who'd had poor health throughout most of his life. This is a nice sample because you had Founding Fathers as young as 18 (Monroe) when the Declaration of Independence was signed, so we're certainly not seeing a surviorship bias. They were certainly wealthier than average, but all the wealth in the world doesn't matter when state of the art healthcare was doing things like treating infections by bloodletting (including by leeches) to get rid of 'bad blood' or 'balance the 4 humors.'
[1] - https://aeon.co/ideas/think-everyone-died-young-in-ancient-s...