Dogs have to be put down when the owners go to jail. It can't be put up for adoption, it is socialized in a way that isn't compatible with normal life and it will become sexually aggressive and start lashing out when no one is putting out. You certainly don't want coomer-Rover around teens and children.
So what about sheltering it with people that can take care of a dog with very special needs instead of killing it? Well, which good samaritans do you think would be first in line to get a trained fuck-dog for free?