What part of Manhattan do you live in?
Your statement/post is absolutely ridiculous abd dodges the point.
Ranchers do not have hundreds of dollars in their pocket or bank account to load up a dog, drive 20-50 miles into town, find a VET, pay him and then drive 20-50 miles again and go back to work ranching. Nor do they have the TIME to do all that as usually they only have themselves to do the work on their ranch.
Yes, you do get one thing right. The rancher/owner of the dog IS RESPONSIBLE. So, he shoots the dog(s). Did it ever dawn on you that he might not, and almost certainly does not, enjoy shooting a dog! But, the dog cannot be allowed to kill again.