Problem is getting permission to import them. Then too the three main species we have are social, thus making them more attractive than many others that live alone.
And let's be honest, the public messes up IDs all the time. I once heard a bobcat kitten called a tiger, lion, jaguar, and lynx within the space of about 15 minutes. Nobody thought of the cat that was actually local to the area, or the fact the kitten looked nothing like some of the suggestions. Hawks are eagles, wallabies are kangaroos, and every snake is venomous.