If there's a hill the UK is prepared to die on this is it, 99.9 percent of Falkland Islanders voted to remain part of the UK in a UN observed open election subsequent to the UK retaining control of the islands. Argentina has never maintained any form of civilian population there in nearly 150 years, they want the oil and fishing rights.

Edit in 2013 another vote was held, 99.8 percent.

https://en.wikipedia.org/wiki/2013_Falkland_Islands_sovereignty_referendum?wprov=sfla1

5 billion barrels of oil and access to Antarctican minerals says try it and find out. UK has a spiffy new aircraft carrier the Tories would love to send to divert attention from their abject failure to govern

So if Argentina gains votes at the current rate, 0.1 percent per thirty years they will hold a majority in 6000 years.

Try it and find out.

He has said he wants a diplomatic solution similar to the one that Britain reached with China over Hong Kong.

https://en.wikipedia.org/wiki/Handover_of_Hong_Kong

During talks with Thatcher, China planned to seize Hong Kong if the negotiations set off unrest in the colony. Thatcher later said that Deng told her bluntly that China could easily take Hong Kong by force, stating that "I could walk in and take the whole lot this afternoon", to which she replied that "there is nothing I could do to stop you, but the eyes of the world would now know what China is like".[37]

The military situation of Argentina and China aren't exactly the same.

This is biased af