That's true but they won't know that straight away, they aren't a threat to is in the long term (if they become a threat we'll just eradicate them) but in the short term it could be interesting.
The thing is, coyotes aren't aggressive. Or particularly destructive either. They have the benign appearance and demeanor of shy dogs. It would take a lot of effort to witness a coyote being violent. As prey, you'd likely never see a coyote being aggressive towards you until you're being jumped by the pack. So in most situations there's no evidence they are anything but cute and harmless. That's their adaptation.
Being an aphrodisiac according to traditional Chinese medicine probably tops that.