Why carrier losses would harden British Falklands resolve

Would Britain continue the Falklands campaign after losing one or both of its carriers?

Yes; Britain would draw on other ships, potentially seek the American carrier support that had been discussed, and press harder once committed.

British commitment would probably deepen after major losses rather than collapse. The Royal Navy possessed other carriers that could be considered for continued operations, even though replacing the lost capability would be difficult. An American offer might also provide access to a US carrier if Britain required one, with a Midway-class ship identified as the oldest carrier the United States could plausibly spare. Once the government had committed to retaking the islands, heavier losses would likely produce a stronger political determination to continue. The mechanics of transferring and operating an American carrier remain unresolved, so the point is strategic resolve and access to options rather than an instant replacement crewed and ready for combat.