Well, if we take nominal capabilities of Argentinian military (current), is it really so hard to imagine a scenario where they could plausibly defeat current British forces there?
Come on, people, 3 Typhoons ( the fourth is reserve ), how many of them can be ready for action at any given time?
Two on less than 5 minute readiness, the third on about one hour readiness. The fourth on two-hour readiness. (Probably. I am unsighted on current readiness levels and if I was sighted, wouldn't be able to say. Those, however, would be typical some years back).
120 infantry soldiers, how many of them can be ready for action ( people do have to sleep, eat, have a rest... ) at any given time?
Depends what readiness state you're looking at. When do they get notice of any attack? If it's a no-notice attack, you're limited to air-drops ... no, doesn't work. Radar picks up incoming aircraft; even on thirty minute readiness they'd be ready. Needs to be sub-infiltration, I guess, which really limits them (The three Argentinian subs don't have that much capacity for passengers). So how many can you get to an attack?
At any given time, assume one-third to one-half will be in full readiness, for the reasons you describe. That's for a no-notice assault. As soon as you tip your hand (eg by moving resources to attack positions on the mainland, or building up naval forces), expect increased readiness levels and increased forces all around.
Say 500 soldiers to guard the perimeter of Mt. Pleasant- how much of them is ready to do that ( remember these folks have other things to do there ) at any given time? How much soldiers do you need to guard the perimeter so that middle-range ( not even long-range ) ATGM can't be fired on hangars where Typhoons are?
Good luck with an ATGM vs a HAS ...
How many soldiers do you need to guard the perimeter of radar stations so that ATGM can't be fired on them?
You ain't creeping up on Mount Alice or Byron Heights without being spotted a long way off. And you need to take out all three radar bases before they can be reinforced. An you'd still get useful coverage from the airfield Watchman, unless you took that one out as well. Four simultaneous assaults? If they're not simultaneous, the other sites are fully warned.
As to how many to defend, say, Mt Alice radar station? Not to blow my own trumpet, but I pulled it off with ten technicians, three mechanics and twelve fighter controllers (no soldiers) plus one RAF Regiment sergeant (and myself as Ground Defence Commander) on an exercise in 1998
(To be fair, defence - especially of a place like Mt Alice with those clear lines of approach - is always far easier than attack. They're a total swine to work out any assault that doesn't involve the full-frontal suicide charge (and those non-suicidal attack plans are very limited in potential and can be out-thought by any intelligent Ground Defence Commander. I'd've hated to have to plan the
attack.) But the attacking soldiers refused to come in for breakfast the following morning. Didn't like being beaten by an RAF Engineer
)
Etc.
About sending reinforcements from UK, you can forget about that... They needed 2-3 days to send 4 Typhoons there ( and they needed one Hercules and 2 tankers to do that ), with months of planning and preparation available, what would they need to send say a battalion of soldiers and squadron of Typhoons there?
On a war footing, you bypass or disregard a lot of processes and procedures that are set up to increase safety. Bear in mind that the planning and preparation
is already done. It's kind of the entire point of having staff officers. You write the contingencies and procedures for given circumstances - and you'd best believe that this particular circumstance is one that has been carefully considered (that's hardly classified information!).
One squadron of Typhoons? Within 24 hours. A single battalion of soldiers? Within 16-20 hours.
One of such posts is the one pointing that British roulement infantry company is amongh best infantry forces in the world... A bullet or RPG doesn't ask you are you the best or the worst soldier in the world. As we can see trom recent French ( failed ) operation in Somalia, they were defeated, and you can be sure that any French commando was better than any average british infantry soldier and that any Somali terrorist is worse than average Argentinian soldier...
Not exactly "supermen", though. They are very well trained, and defence is always easier than assault. And being a good soldier makes you less likely to be in the same place as any given bullet or RPG.