As far as I know, our track record of deliberately driving species extinct that are flourishing under human conditions is pretty bad. The main way in which we drive species extinct is by changing natural habitat to fit our uses. Species that are able to flourish under these new circumstances are not controllable.
In that sense, I guess the questions becomes what happens, when humans are not the primary drivers of ecosystem change?
As far as I know, our track record of deliberately driving species extinct that are flourishing under human conditions is pretty bad. The main way in which we drive species extinct is by changing natural habitat to fit our uses. Species that are able to flourish under these new circumstances are not controllable.
In that sense, I guess the questions becomes what happens, when humans are not the primary drivers of ecosystem change?