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Whities really did just go around killing everything.
(hexbear.net)
Unfortunately, this unusual tameness was used to their disadvantage: as Darwin notes, men "frequently killed them in the evening, by holding out a piece of meat in one hand, and in the other a knife ready to stick them."
No guarantee they'd be sold off to Argentina. The sea territory is valuable enough that any major power would happily take them. It would be particularly funny to sell them to Chile or Brazil