Also when the topic comes up for vote, there is an exceptional majority for remaining an overseas territory

https://en.wikipedia.org/wiki/2013_Falkland_Islands_sovereignty_referendum

On a turnout of 92%, 99.8% voted to remain a British territory, with only three votes against.[5] Had the islanders rejected the continuation of their current status, a second referendum on possible alternatives would have been held.[4] Brad Smith, the leader of the international observer group, announced that the referendum was free and fair and executed in accordance with international standards and international laws.