I don’t know; I think for many the fact that it’s a dog is the problem. (I wonder what they’d say about shooting a coyote that was endangering the stock - or a wolf.)
Some animals are more equal than others.
Dogs are trainable, coyotes/wolves not so much. My dad has had to shoot coyotes that were threatening. I think that’s justified. I definitely think that the fact it was a young domesticated dog is the problem for many. Honestly, for me, I think the worst part is that she showed poor judgment in talking about it. If I had had to make an unpalatable decision like that, I wouldn’t be telling anyone about it.