Actually, longevity may have no effect on species survivability if they reproduce at a young enough age. Longevity would not be selected for, since it extends beyond the ability for natural selection to act on it.I didn't say "significant effect", I said "telomeres are thought to affect longevity [which affects species survivability]".
It would be like buying a car that you end up keeping for 20 years and it works like new all the way to the end. You would not necessarily select for that trait, since it would require being able to predict that the car would last that long. The same sorts of problems arise in natural selection and longevity.