It was called the Malvinas by many south American countries before it was named the Falklands by the British and hyperinflation was a 90s issue. They are mostly stable now comparatively.
British people live there, the British has built the economy, it's a British territory, it is the Falklands, period.
Inflation is a 90s issue? Stable compared to what? Somalia?
They have capital controls in place. I know because I used to be in charge of a credit based in Argentina, specifically a toll road heading out of B-A. It was a mess. The corruption was massive and very evident in everything you did. The road had defaulted over a decade ago but the courts, which are corrupt, were bought off by the politicians who were in turn bought off by other parties. Because their variable costs (labor) kept going up, according to their 30%+ annualized inflation, but the politicians wouldn't let them raise toll rates, the road was losing money. Since it was losing money they couldn't repay the bond, they couldn't even cover interest. When they would finally allow a toll increase it was almost impossible to get the Pesos out of the country. The bond was Pesified back when the government devalued the currency and didn't want dollars fleeing. It's a nightmare getting the Pesos out of the country and into dollars and a process rife with more corruption.
Their current annual inflation, admitted to by the Government, is 54% annualized. It is probably much higher.
Their government tries to buy off the people with social programs but is massively corrupt, like almost all SA governments.
That's not to say the country isn't beautiful. I have a friend that is from there and his family has a big ranch, it looks nice. However, he steadfastly admits he'd rather be in the US than there.