I’m meaning the callers shouldn’t be going over to their neighbors property and shoot their neighbor’s dog... and the pigs don’t deserve to get shot for escaping an animal attacking them 

Clearly it’s not a good thing but SSS is more for if the dog came over and attacked their livestock. And even then unless it’s going to cause a bigger issue I wouldn’t go with SSS. I might still shoot the dog if needed but I’d not hide the fact because I’d make the owners pay for the damages