It's a little cold and heartless to help the dog but not the parents, but I see your reasoning.
Why are you always the giantest asshole you can possibly be?
I don't think I am. I am putting my opinion out there. Yes, it looks like her parents are not responsible at all, but at the same time I value people over pets. I don't wish for the dog to suffer, but that would not really be first on my list of concerns.