I'd be all for hearing out Argentina, and saying that their desire to have the Malvinas might be legit but...
1) they no longer allow ships flying the Falklands flag to dock in their ports,
2) there's oil off the coast, clearly this isn't about whatever else they claim.
Seriously, if I was a Falklander, I'd be pissed about #1 and concerned over what would happen when development starts on #2 (although that one is a concern no matter to which country one belongs).
What is #1 supposed to achieve other than strongarming?
Now, I did think it was hilarious when the UK prime minister called Argentina's efforts 'colonization'. Seriously, that was funny, but let's call a spade a spade. It's not theirs and they want to have it.