The islanders are british citizens. The consideration for "their interests" does not mean that their will is to define the issue.
It´s clearly a british government´s fetish to put "the islanders" before anything else.
On the other hand... how about the interests of the argentinean population expeled from the islands (some of them even shot dead on the spot... Port Louis that is) back in 1833? There´s a name for that nowadays: ethnic cleansing. Of course, I wouldn´t get that far... but those are the roots to this conflict. It was about to be solved back in the ´70s, when locals were not even treated as british citizens, and the 82 war -in a fantastic twist of fate- changed it all.
The tree might not be giving us those red, sweet apples anymore, but it remains an apple-tree. And this conflict, as defined by the UN, has nothing to do with the islanders despite every excuse that might be put out for sale.