False comparison. The Falklands were never Argentine territory; the British claimed it from the Spanish after a protracted war there that resulted in later Argentine independence from the Spanish empire, called Río de la Plata. With all due respect, take advice from your own screen name with respect to history.
“The sun never set on the British Empire”
By what right should it still be so?
What do they really need it for? To protect the British Isles from Penguins?
Why not make an alliance and give it back to them in exchange for right of use?
It is off their coast and should belong to them. Would we allow the Chinese to own Catalina Island under ANY circumstances period?