I have a negative amount of social life and even I, in the last month, have listened to a woman complain about having to take care of the dog that her husband and her teenage kids never ever help with, and she never wanted a dog in the first place.

"The kids will take care of the dog they want" - are you sure? "The husband will take care of the dog he wants" - and if he doesn't? Are you going to give the dog up for adoption the first day they leave it on you? The second day? The second month? Or is it never, and it's just one more chore that you get stuck with by default because it has to get done by somebody?

And, yes. I do in fact think that being really pushy about getting a pet when someone has explicitly said they don't want one is an asshole thing to do. Who is being asked to compromise and why?