Once you start thinking just a little bit about this problem it becomes increasingly horrifying. If we cured aging today, how long before India or China enacts forced sterilization to prevent their populations from starving to death? How long before countries start to cull parts of the population? How could we possibly cope with Africa, where women have 5 kids in the hope one lives?
Famine like the world has never seen. Energy wars over the last scraps of land you can put solar on. Fresh water in the middle east would be unobtainable and spark some of the worst wars ever.
Then all the carbon emissions from an ever-larger population would destroy a climate that just barely survived the 2020s.
Curing aging creates a thousand times as many problems as it solves. Curing aging without already having a population control system in place globally could very easily destroy us.
I think we will eventually solve aging one way or another, but whether we can control the population of an entire planet I'm not so sure of.