I would strongly disagree with you! People have, from the earliest prehistoric times, lived in some time of a housing facility, was that a cave or a house made from mud or wood up to today's concrete and brick houses, as you can see the list is endless when it comes to what do humans (from tribes in Africa to cities of America) consider a home. So, as you have put it before, by definition, having a house is in human nature.
Turning the facts around to suite ones theory isn't scientific and therefore, you can't take it as a irrefutable fact. Doing that leads to demagogy and I think no-one wants that, because usually that doesn't lead to conclusions.
I do believe that domesticated means that their instincts aren't as strong as they are now. Dogs and cats are kept as pets for centuries and their instincts are not as strong as ones in our parrots are. Keeping one in a house in a cage, doesn't mean it's been domesticated. Feeding them people food (parrots don't eat cooked sweet potato in the wild) doesn't insure that either. Giving them toys doesn't mean it, too. Just look how many parrots have plucked them selves due to behavior issues (lack of attention, toys, ...), when you look at that, you can't say they are not wild animals
In a 200 years or so, that generation will be able to say that parrots of their lifetime are domesticated. When you take, purely scientific, the poi family. First breeders who bread sennies etc, reported that those babies, who were babies of wild caught parrots, were extremely shy, even the hand-fed ones. As time passed, they have become more and more calmer and the true poi personality is coming out. The same you can see in newly bread spicies like jardines. In 100-200 years, their instincts will be minimized.
In my opinion, after a longer period of time passes with parrots in humans homes, we can start talking about domesticated animals.
We should treasure the lives we have in our homes, they DIDN'T ask for us and DIDN'T pick us, WE picked THEM. And if we do OUR best, people will learn on OUR examples. And that's something to look forward to. I have 2 parrots in my home and I'm responsible for them, their health and well-being and I'll try to do my best for them.