A casual scan of Wikipedia articles on the Falkland Islands -- this one Which one? Care to give a link?, on the sovereignty dispute, and related pages linked to it -- shows that whatever benefit Britain ever gained from claiming the Falklands is quickly receding in the rear-view mirror, leaving only the responsibility of honouring the citizenship bestowed on the island group's people in 1983. A benefit to the UK would be a possible reason for keeping the islands British. But there is no need to find a benefit to the UK. If the islands wish to remain British then that is sufficient. With no necessary benefit to the UK.
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