Domestication ≠ habitat classification. Alpine refers to habitat. Kea live, feed, and breed in alpine environments and are behaviourally adapted to it. By your logic, because my ancestors ~300 years ago aren’t from New Zealand, I’m not a New Zealander.
Sure man, ask the Keas, I am sure they like their new name and wouldn't prefer to live in lowland if human were to disappear in NZ.