Yes I do own my dog. No matter how you put it they are just animals. They are not intelligent enough to own thing themselves, but they are intelligent enough to feel pain and some emotions. You shouldn't abuse your pets, but don't go trying to say they are as smart as the average human.
I understand the point you are trying to make, but domestic animals ARE owned by humans// unless lost/stray/etc // most would not survive long, if at all, if not owned by humans that can take care of them.. its called evolution as your comic seems to reference
Did you think they only had four fingers?