Why would you think that. Dogs are hunters and at times they will go after animals it sees as prey. Even that dog with owners who swear it would never, ever kill anything. This is why in farm or ranch country it is a given that if your dog harasses or kills livestock it will get shot. You can only do so much to take nature out of a dog.
And let that nice doggie run with three other dogs and he becomes a killing machine.
Cost money and time to feed livestock. Can’t afford weight being run off cows or calves being hurt. Neither can you afford your other animals hurt. Here in Idaho you might get a neighbors courtesy visit on the first offense. Best not be a second offense. With ownerships comes great responsibility, keep them home or loose them. It’s the owners choice.
I had 2 huskys harassing my Arabian horses this spring. I shot AROUND them to scare them off, but they would come back. One day, they had my stallion pinned up against his hot wire fence & they were cross-circling each other trying to get to him. More shots, but turned out to be warning shots because I waa so damned mad.
Finally found out what property they came from. Went to Animal control & they got removed & re-homed 25 miles away. Fine by me. I was ready to switch from .22 rifle to shotgun.