Not true. Procreation is not binary. More is better (evolutionarily speaking), so there's no reason for "once you have one offspring you're evolutionarily dead." No, you could have more.
On some level humans are the pinacle of the solution to survivability. We live in every biome on the planet, and are actively researching giving ourselves immortality.
We're so successful that the best strategy for a lot of other animals has been to be food or company. Cows are doing pretty well because of us.
