Getting back to mitochondria and free radicals…
There may be a link between evolutionary pressure to evolve highly efficient mitochondria and lifespan. If you’re only going to live a year or two then who cares if you have sloppy mitochondria that leave a mess about the cell? If you’re more likely to be eaten by a predator or become roadkill then what does it matter that you’re aging fast? Reproduce fast as hell, leave a bunch of babies, and you’ve still won in a Darwinian sense.
But… if you could live longer, if your can potentially escape predators… then those who live longest might well leave the most descendants. In which case you now have pressure to evolve highly efficient mitrochondria that don’t leave a mess of free radicals while generating ATP.
Or… if your lifestyle requires a LOT of energy then evolving highly efficient mitochondria means more efficient energy production and use. Which, as a side effect, might mean less damage from free radicals, less internal wear and tear on the cells, slower aging, and a longer life as a side effect of more efficient energy production and use.
There is a correlation between relatively long-lived critters and mitochondrial efficiency. There are birds - flight enables most birds to evade predators, meaning that there is the potential to evade being eating by something else through multiple breeding seasons. Also, flight requires a LOT of energy. Birds have pressure to evolve efficient mitrochondria to provide the energy required for flight, and flight means evading predators longer in at least some cases, so birds have not one but two incentives to evolve better mitochrondia and … surprise! Birds also tend to be long-lived, especially for something so small and with such a high metabolism.
Another critter with high energy needs is… US! Yes, us - our brains are enormous metabolic gas guzzlers, on top of the primate optical system being fairly energy intensive as well. Not only are primates in general relatively long-lived, but we’re also the longest-living primates. So we have that “incentive” for better mitochondria. On top of that, we not only are pretty good at evading predators, we’ve hunted most of what used to eat us either to extinction or darned close to it so we have ample time to reproduce. Another double-whammy.
Look at elephants - not much takes on an adult elephant, so they don’t have to be in a hurry to reproduce and can have a long breeding lifetime. And… elephants live a long time. So do whales - again, not much takes on a grown whale, they aren’t a hurry to reproduce… and they live a long time.
Then there are island populations of animals that are longer-lived than their mainland counterparts - lack of predators means animals that might otherwise only breed once can breed again if only they lived long enough… and those that do leave more descendants. If I recall, there is actually a species of opossum that fits that description. It would be interesting to know if that species has more efficient mitochondria than the other opossums do, wouldn’t it?
The thing is, there are multiple reasons that a species could evolve better mitochondria that produce fewer free radicals while synthesizing ATP, which makes the whole “what does metabolism have to do with lifespan?” question more complicated. As I noted, a long life might be a side effect of something else that is pushing for efficiency energy production/use. Or it could be that lack of predation shifts the pressure off reproducing early and often to a strategy involving more time to reproduce. Critters with “sloppy” mitochondria with a slower metabolism can live longer, too.
In other words - it’s all more complicated and interconnected than it first appears. And that’s just considering mitochondria… as others have noted there are other factors impacting longevity at work, from mTOR to thyroid hormones to probably a bunch of other stuff.
There’s no magic bullet and no one answer.