That easy confusion is why I don't like the term "rewild".
BTW, just now I researched some of the history. http://academic.evergreen.edu/curricular/MES/rewilding.pdf from 1998, which Wikipedia's "Rewilding (conservation biology)" describes as a refinement of the idea, by conservation biologists Michael Soulé and Reed Noss, characterizes the two eras of human involvement in the North American continent; the megafauna extinction from 11,000 years ago, which killed off 50 species of large mammals large in North America, and the post-Columbus wave.
That ends with:
> Sooner or later it is necessary to find the resources to incorporate wilderness and the entire pre-Columbian set of carnivores and other keystone species into reserve designs. Absent these, the long-term success of the continental conservation network in North America is doubtful.
So it's goal is to restore the pre-Columbian era ecology, but says nothing about the involvement of the one species which defined the character of that ecology - humans - other than to argue that it should be minimized.
You commented, "which in many cases turn out to be the presence of apex predators." My point boils down to the observation that humans were one of the apex predators.