You'd have to be a psychopath to shoot a horse with a .22 at range, whether it was wild or not. 99.9% of the time it would run off, maybe to recover, but more likely to die horribly over the course of weeks. Ever seen an elk running around with a round in its shoulder, slowly dying from the infection? I saw one run right up on us as a kid, tongue hanging out with slimy green froth dripping from its mouth, eyes so bloodshot the red almost looked black. Shooting a pig in a vital spot at point blank range is an entirely different story.
I could see someone baiting a bear so it was up next to a sturdy structure and shooting it in the eye to kill it, but that's about it. You can't even expect to shoot and kill a coyote at range with any kind of reasonable chance of success.