A testable hypothesis for this: if you count only the animals that survive long-enough to die by degenerative disease, then animals that get regularly bloodied by their predators or prey species should have longer average lifespans; while animals who don't (e.g. because they have no natural predators; because they're herbivores; because they prey only upon species with no violent defenses) should have shorter average lifespans. This shouldn't be purely a per-species effect, but should also be seen in a lifespan difference between e.g. wild and zoo animals, if the wild animals engage in bloody conflict that the zoo animals don't.
Does anyone know if that hypothesis holds up at all? (Maybe/especially if the question is phrased in terms of heartbeats† rather than years?)