You would be sure to be repeatedly lectured and if you resisted probably beaten up
Absolute nonsense. You have obviously never been there, or you would know that British tourists are very welcome in Argentina. Judging the Argentine population by what you read in the press or by their government's propaganda does it a great injustice.
The historical links with Britain are very strong, which is not surprising since it had the largest British community outside the Commonwealth. No, they didn't leave, they married Argentines