My logic is maybe a little different?
Louie the canine companion will gladly consume bird feces. The cats eat rodents all the time. The other day I caught one of my ducks nearly choking to death trying to swallow a baby bunny she'd found and killed. When I took it from her to see what it was, the drake snatched it and gulped it. Muscovies, so the drake is much larger.
My logic on it is this. I spend a fair bit of effort trying to reduce the parasite load, which is never going to go to zero. The skillet is right there, it's a quick easy thing to do, and helps keep the parasite load to my preferred side of the balance. Do I really think there's much of anything in the meat I eat? No. But also there's not much effort in cooking it either.
I completely understand the whole:
But I'm going to be honest with you. If those birds wheel out a kitchen and fire up the BBQ? I'm grabbing knives and forks and inviting myself along. BBQ coyote wouldn't be my first choice, but if they're doing the cooking, I'll try it!