I use a form of that locally. I strafe 3-4 jackrabbits, then set up on high ground and sidewind of the jacks' places of repose. Gunfire in an area does not necessarily drive coyotes off--rather, they as often as not will move through a hunted area looking for cripples, kills, and gutpiles left by bird and varmint hunters.
I've heard a similar story about how coyotes are able to propagate more readily to adjust to hunt losses. "More hunting" sounds like a viable response to me. I'm not sure I buy into that dogma, anyway--and throwing in the towel due to increased resistance goes against my grain. I'm glad that the first European settlers of this land had stronger mindsets than these fauna fascists have. The settlers would otherwise have been driven into the Massachusetts surf by Neolithics with archery tackle.