Another huge factor will be timing and time.
With the April invasion the British were against the clock to get the war finished by mid-late June, ie the southern winter. This is why everything was so rushed, and the right ships were not deployed etc, I've even recently learned that HMS Exeter didn't have a full Sea Dart magazine when she sailed south.
From my reading, and I won't die in a ditch over it if it's wrong, was that the Argentines wanted to invade in late 1982 early 83 after about a year's planning and preparation. This makes sense, IIUC they would have taken delivery of all of the Super Etendards and Exocets among other things.
However, this gives the British more time to prepare a response before June (winter) 1983. Sure, a naval Task Force will sail in quick time and even likely retake South Georgia. The main invasion force could take more time to gather and prepare; the most appropriate ships could be rotated out of their current assignment, for example all 3 1022 radar equipped Type 42s could be in the CBG as well as all 4 Type 22s. Harrier GR3s could be modified for LGBs and and Shrike ARMs and 2 Sea King AEWs were ready in 11 weeks.
The problem is that 15+ weeks instead of 10 might be long enough to halt the hostilities before the counter-invasion occurs.
