yep.
If fence out, cattle and horses have special protections that your shithead neighbors pitbull, alley cat, or some other livestock categories for that matter, dont enjoy. Antiquated laws to be sure, but is what it is. Shoot a loose cow and you likely go to jail. Loose cow causes damage, cow owner is not legally liable to provide restitution, most would anyway if they are able, but not legally required.
I have a shithead neighbor with inadequate fencing who has two cows regularly pulling down my fence and getting into my feed storage. Pisses me off. Nothing I can do except chase em back through the fence and repair the fence. Up to me to fence em out. Have other neighbors who manage to not cause this kind of problem and would resolve any damage, so no issues with them on a rare occurance. Repeat offender who doesnt care... super aggravating. And yeah, even if I am chasing those cows off my own property, if I bump em and break a leg on a cow, I get the pleasure of paying the owner for that animal. Sweet deal that one.
Ony real recourse is to get the brand inspector involved, but that isnt as effective as you might hope.