Gonzalez said:The UK wont let them, they're not interested in them being independent. Personally I would gladly accept them as an independent south american neighbor if it meant it would get rid of the British presence and their claims, like their antarctic claims.
The British would still prefer an independent state over Argentinean rule. And for economic and military purposes it would anyway function as a British territory. Only now you could end up with a US presence as well.