No, you are simply mis-understanding me. Do people consider them domesticated? Yes.
Cats, Dogs, Horses, Birds, Snakes all came from the wild, and were bred down generations. The reason people say dogs & cats are domesticated is because you can teach them things, that just simply means their smarter then snakes, you can't teach a snake where to poop and not to, as you can a dog or a cat. All of the animals originated in wildlife. If what you're saying applies, then that makes a lot of animals domesticated pets, and they're not. They were simply bred for temperment, just like some people breed snakes, and that goes back to what was said a few posts above, it's all in the eyes of the beholder, the reason I say no to domesticated is because if it comes down to it, it's all survival, you get your own. As long as any animal has that ability to think like that, I will not consider it domesticated.