Owning is, like, a human construct man. If you can slaughter a herd of animals without facing any human imposed consequences, it's probably fair within the bounds of language and meaning to say that you own them.
I'm very open to the possibility that I am missing your point, but my point was that you are playing word games.
Do I own this T-shirt if it can burn? Do I own this stick or am I just carrying it for a while? Is this my banana, or does everything belong to the universe?
See also: Is it possible to own a cat?