You bet.
Picture these scenarios:
A half dozen sheep hamstrung, not killed mind you, the dog just hamstrung them, you know they lay there bleating because they can't walk...or run. We had had to kill them ourselves, and the stray dog as well.
A neighbors dog running our herd of milk cows while they're in the trap (a small holding pen) after being milked. Know what happens when milks cows are harassed? They're production drops off.
My Border Collie bred by a mutt that some rectal orifice dumped on our road. Not the dogs fault, but not mine either and I'm the one that has to try to get rid of a bunch of mutt puppies that nobody wants.
The neighbors "Awww...he's just a big loveable puppy" dog chasing my cows and chickens. That one was wearing a collar, so in a weak moment I found the owners and told them that was the first and last time I would call them.
The same goes for my dogs, if they're harassing or chasing someone's livestock (which they never do) they're understandably subject to the same treatment.
And don't get me started on coyotes that are "minding their own business....".
I could go on, but surely you get the picture.
35W