Are you aware of the following two facts:
1. The Argentine aircraft were flying to near the very limit of their range to attack the ships located directly off the Falklands.
2. The British carriers were opperating some distance East of the Falklands.
Hence the utility of land based air vs the carriers is at best marginal (read: most hardpoints taken up with fuels tanks, hence minimal load of bombs or missiles) or possibly non-existant.
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Are you aware of the fact that they RN could only keep a couple of Harriers airborne at any time since their patrol endurance was only about 1.5 hour. These had to patrol all over Falklands etc. So any attack from land based Mirages would draw off those CAP Harriers . If coordinated there would be insufficent time to get enough harriers to intercept.
Argies admit 34 Mirage/A4 losses and another 68 other planes lost [1/4 on ground]. Brits claim 72-104 kills but historically such claims of 'enemy planes shot down' are not trustworthy. Harriers claimed 20 kills but ground /ship based claim kills 51 kills. Over the period in question [~45 days] UK claim 2300 Harrier sortie with 2700 flying hours ,but roughly 1500 sortie were ground support. Thats an average of only 27 -sortie per day [1200/45]. If this is limited to 1.5 hour cap over daylight hours thats 2 Harriers at any one time with maybe 2 more on alert.
Argies report 505 sortie of which 445 carried out and 302 reached targets. So RN/RAF airdefence was only able to stop 1 out of every 3 attacking jets. The rest got through.
Source; Anthony Cordesmann, "The Lessons of Modern War:. The Afghan and Falklands Conflict", vol. 3 (Boulder: Westview Press, 1990),