Page as much as he may be ill informed on specific aspects does raise other points which need to be answered particularly around the procurement processes, where he spends most of his time bashing Typhoon.
Woodward though, is a different case. Although I'm more inclined to give Typhoon the benefit of the doubt in air to air combat, the scenario that Woodward came up with, to my mind, still holds water. And that is, those four Typhoons cannot be everywhere at once. All you have to do is keep the AD assets occupied at a distance where they cannot directly protect MPA. The rest is difficult, particularly logistically, but far from impossible.
But as said before, the best solution to retake the Islands is not to lose them in the first place. Providing there is sufficient quality intel to allow reinforcement in time, additional Typhoons, troops, SSN's/SSGN's, etc, the problem shouldnt arise.
And, in addition to that, as at least one other contributor has mentioned, its Presidential election season in Argentina and this outburst has been purely for domestic political consumption.
If they're going to go for it, they wont do it yet. They'll do it in another 2 or three years when the effects of SDSR are properly felt at the front line. They've waited long enough. Another three years wont be the end of the world.