The trouble with this sort of quasi-dualistic general statement in my experience is it doesn’t hold up well to scrutiny by domain experts. Another way of looking at this is that humans have shaped their “wild” environment to their advantage which is something many animals do. The trouble is in defining wild here - your point rests heavily on a definition along the lines of “shaped entirely by non-human forces” which is a circular argument. For example (and I’m no expert) but think of dam making by beavers and whether the resulting pools which expand their habitat and food are “wild”?
I’d agree with you that there is a qualitative difference between say industrial society and the rest of the animal world, but it’s not easy to nail down that difference in a way which doesn’t wind up excluding much of human history.