My fish are just animals, except for my bettas and my crabs. I think it also matters if you name them. Like most, I name my bettas, but not the other fish.
Some people treat animals in different ways. I consider the person who keeps their dog outside all the time and gives it food and water but little else as a person who has an animal. The person who makes the dog part of the family by caring enough to provide it with attention and love, plays with it, pets it... that's the person who has a pet.
Q
^ nailed it. Dogs, cats, hamsters, parrots, cichlids and other fish that beg for food - pets.
Fish that avoid you or are oblivious to you, most herps (except some turtles), birds that don't ever get tame (like most finches) - not "pets" so much as "kept animals" - though I do my best for them as well, there's not much point in worrying about how much attention they get.
If I talk to them all the time would they be considered as "pets" even though most of them ignore me? hehe LOL![]()