The other problem is we don't usually full know what some species are doing for their environment, and are incapable of compensating for it fully. The Four Pests Campaign is a famous example of it. As is a lot of areas in America now being forced to re-introduce wolves into the wild to balance things.

The important part about strength is knowing when to exercise it and to what extent. Mindlessly killing everything weaker than us doesn't demonstrate anything the same way punching a child doesn't prove you are a powerlifter.