Do we eat mice and rats in the house that we kill? Do we eat cockroaches that squash beneath our feet? Have I eaten the possums trapped from the attic of homes that needed my services? No.
I, too, was raised with the mindset that "you only kill what you eat", until I thought about it more in depth. No, I don't and other people don't either. We kill for food, to rid our homes and farms of pests or for pelts. Sure, some do kill just for the fun of it. I killed a mess of praire dogs and groundhogs, and it was fun. But the reason was to also clear the farms and ranches of varmints that cause damage to crops and buildings. (I have et groundhog on a couple of occasions but it has not been to my liking).
I've been called upon by farmers in the past to help rid them of coyotes that they have lost quite a number of head of livestock to. I assure you I didn't eat those dogs but I did do those folks a service.
As for the claim that a PRB will tear up more pelt than a 22-250, not very accurate in my experience. I've had terrible holes with a lowly 223 that the sewing needle and thread took care of in a few minutes. A half inch hole in and out with a muzzleloader isn't any worse than a hide that had what looked like a hand grenade go off inside.
When it comes to game animals, yes, I eat everyone one of them I shoot. For predators and varmints, no, I don't. Hear tell that cougar back straps are a delicacy, though. I wouldn't know.
That said, a coyote was sneaking into my back woods yesterday morning. The Hawkins was still loaded from an afternoon hunt last week. Durn if I must have sailed that PRB over it's back. He should get the hint that I am trying to protect my little dog companion. Letting her out in the morning is always a concern on of the local packs might want her for a snack. I wouldn't appreciate that.