I think there are more long-term consequences than just "what happens to the Falklanders"... this can embolden just about any other third-rate nation to claim, and even invade, any nearby territory regardless of how strong a claim. Morocco can be more aggressive over Ceuta and Melilla; Spain over Gibraltar (very likelt), PRC over Hong Kong and Macau; Seychelles over the British Indian Ocean Territory (the USA has a big say over who has sovereignty, due to Diego Garcia, so that might be hard, but if the US already sold out the UK once...), France could have multiple fights including Mayotte and Réunion. Even the Antarctic Treaty could fall apart since the Falklands gave the British a good base off on their claim to South Georgia; which will be Argentina's next Hitler-esque step; and to the overlapping Antarctica claims. Nations all over the globe not only start being aggressive over nearby colonial territories but also over boundary disputes amongst themselves based on colonial borders. Revanchism and irrendentist tendencies exacerbate.