Hello Urban... Be gentle...
My earliest memories were of the invasion, as a kid in Buenos Aires. Dad was a UK diplomat; three days to pack and fuck off. My first day at school, aged 4, in San Isidro was devoted to Las Malvinas. All kids had the cause drummed into them as an article of faith, including me. The adjustment to life in Orpington that followed, in the fever of anti-Argie sentiment, was a tad difficult to say the least...
This won't go away any time soon, especially in the minds of the people of Argentina. The obsession is less about what Falklands/Malvinas is, but what it means in the context of Argentine identity and history.
The war was a horrendous tragedy that fucked up the lives of those left alive in its wake in both countries. The UK had spent years, from the early '60's, attempting some sort of settlement that would eventually mean effective transfer of sovereignty to Argentina. "Leaseback", "Condominium" and other initiatives I recall... all roundly vetoed by the Kelpers. Successive administrations found themselves in the position of trying to sell these deals to the Falklanders and failing.
Admiral Anaya felt that a swift capture of the islands would be a fait accompli. "Plan Goa" was its planning name (Argentine commanders studied the Indian capture of Goa from Portugal, a classic anti-imperialist move that barely caused a ruffle at the UN) and they believed world opinion would largely support them. It condemned many young, illiterate conscripts to death, PTSD and public shame.
Ultimately, the right to self-determination of the inhabitants, enshrined in the UN charter, fucked the Argentine case at the UN and allowed Reagan to support the UK (diplomatically and materially). This has had the end result of locking Britain (after the war ended) into defending the place in perpetuity regardless of the cost. Argentina want the Malvinas (and always will, it's not a subject you can discuss rationally without nationalist emotion taking over in Argentina) but I would hope that the methods of the fascist junta are now long gone and that diplomatic pressure is the only viable route they would choose...
This ain't over. My only hope is that armed conflict is not an option.