I propose nothing, things should stay the way they are, but saying geography is an irrelevant factor here is just plain wrong.
To sum up the history of the Falklands:
Before 1500's the FI are uninhabited, Argentina doesn't exist as a nation.
In the 1700's British settlers move in and FI's recognised as a British colony, Argentina still doesn't exist as a nation.
In the 1800's Britain recognises Argentina as a free and independent nation to irritate the Spanish.
In 1982, Argentina unilaterally invade the Falklands to hide economic failures of the government, after a short war Argentinian forces are repelled and forced back. They leave thousands of land mines on their way back.
In 2011 Argentina try and ratchet up the pressure again to cover up more economic failures by the government and hold up the leader's ratings.
Where in that list does Argentina have any claim on the Falklands other than being nearby?
I think we should give it to Argentina, what good is it to us?
Oil. Lots of it.