Courtney,
I think that Justanopinion was actually referring to the Sea Harriers who were down there in 82 doing AD, not 1 Sqdn who weren't. (You were, weren't you?)
Having done what they had done to the Argentinian Air Force, The Shars were providing AD from Stanley and the two carriers day in day out until well into September 82. 1 Sqdn helped out. Truth be told, there was little or no credible air threat immediately after June 82, more on political grounds rather then military.
For what it's worth, the defence of any future carrier task group will be layered, with T45 as part of the layering. The AD part provided by F-35B would be complementary, not solo. The fact that the carrier can move around also helps reduce threats. Not something an airfield can do.
Best regards as ever
Engines