I'm the same as stony, if it's a native critter doing its own thing, I let them walk.
But if it decides to turn nuisance I'll get them.
I've never hunted a bobcat, but I've had no reason to do so. I've had a couple of goats that I suspected was a cat that killed them.
Coyotes get used to eating domestic stuff and cause problems and I'll get those. Some stay in coyote land doing coyote stuff, those get to continue.
Hunted lots of raccoons, but same treatment.
Pigs always got a bullet, at least the first pig does, lol, the survivors leave in quite the mayhem sometimes hahahahahaha.
Honestly the biggest problem smaller farm animals face is, sadly, feral dogs.