If anyone remembers the James Herriot books about a British veterinarian's practice over a decade before WWII and a couple of decades after the war.
He ran into the same issue. People down from the "city" letting their dogs run loose who were "playing" by chasing the local sheep and sometimes "tagging" one of them.
The chasing meant that the animals might die of fear, run themselves into exhaustion & illness, and the "tagging" with the dogs' teeth wounded them in various ways - which might range from mild injury that might or might not get infected to ripping out the throat - depended on the size of the dog and the size of the particular sheep.
The city folk were quite upset when their dogs started getting shot at - whether rock salt in a shotgun (painful enough to teach a lesson but not usually fatal) to killed (the ones that kept "playing" after the warning shots).
The local farmers were quite upset that the lives and health of their animals and their livelihood were being ignored by the city folk who were not teaching their animals the "proper etiquette" for being around non-humans other than other dogs or cats.
If someone else's dog had come into their home & started chasing & injuring a pet rabbit or gerbil in the guise of "play", they would have been quite upset - but their dog doing the same thing to a sheep, goat, cow, pig, or the like was considered rude on the farmer's part for not wanting their animals to be treated as toys.
We had a dog who had never seen a sheep in his life - but came from a long line of Tibetan sheep dogs. He "knew" exactly what to do - make sure the sheep moved from water, to grass, to resting in the heat of the day...he just had to keep that poor sheep moving because there was only ONE of them.
I'm pretty sure that the sheep was bewildered, having never been around anything but humans and its own sibling earlier (we didn't end up getting both of them, long story) - so this long haired four legs that kept making it move around confused it. It wasn't a sheep but it clearly wasn't a human and it thought that it was "the boss"...but that sheep was never bothered by any of the local wild animals for the rest of its life - not cats, dogs, squirrels, or coyotes.