Only if you consider Argentina itself Spanish, much of the USA being British, and most of Europe being Italian? When does one stop claiming prior ownership? When does a war of liberation stop being "legitimate"?Falklands a civil war? Hmm, it is Argentine soil after all, and as such, all born there are Argentines.
The Falklands war was a political diversion aimed to create a common cause for the Argies, so that they could be distracted from internal political issues. Of course, now there's oil in the mix, so Argies will never give up. But frankly, they don't stand a chance since the Brits are even less likely to give up anytime soon.