@ holy_king - I believe the islands are called whatever the local inhabitants want it to be called... given that most of them identify themselves as Falkland Islanders, I'd suggest that your opinion would be contested by the people actually living there.
Without getting into a slinging match about the wider issues on claim, the fact remains that the vast majority of citizens living on those islands identify them as Falkland Islanders as a distinct identity, and are more than happy to retain their current political status with their own Constitution ratified 2009 making explicit references to the right to self determination.
I have some very good friends that I work with who are originally from Argentina... and over many pints and debates we've agreed on one thing in regards to the islands - that being that it really doesn't matter in the end what Argentina says, or even to a point what Britain says in regards to claim or what the islands are called (or any other sovereignty related issue). The inhabitants are entrenched, with a legally ratified self-rule constitution and a legally recognised right to self-determination. You can say or think whatever you like in regards to support either Argentina's or the UK's claim. And the end of the day, the only opinions that mean much are the opinions of the people that live there, and have lived there for some time.