By your same logic, you could pick any species at all and call their traits "the winning strategy for long-term survival" as long as you live contemporaneously with them.
There are known species that don't seem to exhibit planned senescence--the naked mole rat is a commonly discussed example. Check the Wikipedia page for biological immortality[1] for more examples and info.
The article essentially claims that ageing is likely a result of interacting thermodynamic processes. If so, then without specific preventative measures, organisms will "age".
The discussion at this level is pretty hand-wavy. So without introducing more rigor, the best we can say is probably something like this: there hasn't been strong selective pressure in the past to develop anti-ageing strategies.
Though you won't see any of them developing rockets and space-stations. To what extent that is an evolutionary advantage on our part I'll leave to general consensus.
All species that used the Time Travel flatulence method have disappeared.
Emphasis is not exactly "can't", rather it is "has not yet"...
All species that didn't die of old age (if there were any) have disappeared regardless.