What if the French fought Argentina over Falklands. Could they have done it faster?

with a bit more conditions than last time

The French were the first to settle the Falklands which they referred to as Îles Malouines.
What if the French never gave up their claims to the Spaniards and the entire islands continued to be under French control.

then the Argies invaded it and the French are tasked in taking it back

some other assumptions:
The British still maintain most of the other south Atlantic islands including Ascension
The Argentinians are using British aircraft instead of French
Entendards => Buccaneers
Veinticinco de Mayo also carried Sea Vixens and Harriers (which the UK tried to sell to the Argies)
Mirage => Lightning

French have French Guinea and French Polynesia bases