But if the sub is anywhere near Veintincinco de Mayo, the Argentines will have a good chance at finding it. Finding it and destroying it are two different things, mind you, but the British may have to think a little more before they use those SSNs if the Argentines have nay hope of finding them. Remember what the Veinticinco de Mayo's escorts were - two Type 42 destroyers. Those probably, when working with the Trackers, coulda found a British SSN, especially one close enough to track Veinticinco de Mayo's movements.
Doubt it.
1 - Only a stupid commander would assume the enemy couldn't find him. (The Argentinians would've been equally silly to act as if no RN subs were in the area.)
2 - The Argies had no real experience of countering nuclear submarines - how do they react or act, if they have little knowledge of their tactics and capabilities? (That's why ex-submarine officers tend to make good ASW officers.)
3 - Type 42s are not very good at ASW, it being a secondary function and in the hands of the above far worse.
4 - Same goes for the ASW aircraft, better than a general purpose ship, generally, but much of 2-3 still apply.
Basically, like a lot of S American nations, they were 'prestige' navies with big guns and carriers, designed more for posturing and fighting their neighbours.
That said, an accident could've occurred and the SSNs sent down south were relatively unsophisticated 1st generation SSNs; but more likely to have happened during some Cold War shennanigans given scope and duration of these missions.