A lot can happen in 99 years, but even assuming a serious decline in US economic/military might I don't see a scenario where Mauritius could successfully enforce the lease on its own.
A lot can happen in 99 years, but as Hong Kong shows, the UK has a decent track record on long term legal continuity.
Presently, the UK lacks an entrenched written constitution. Hence, any court decision can be overturned by an ordinary Act of the UK Parliament, passed by a simple majority. If a court makes a ruling which the government of the day sufficiently dislikes, the court ruling will be overturned, assuming the government has the numbers to get the legislation through the House of Commons and House of Lords.
But, in 99 years time, who knows. Maybe by then, the UK will have a written constitution. Maybe by then, the UK won't even exist anymore. Maybe by the time the lease expires, it will actually be between Mauritius and the English Republic.
This is something that our America obsessed cultural elite have forgotten. The "Brown versus Education versus Alien versus predator" style of activist/political focus on the courts rather than parliament is quite ridiculous at times.
While the UK did have a long history of legal continuity, it's made a lot of dramatic changes in recent years - the switch to the Supreme Court which has then made some legally bizarre decisions, the complete demolition of the House of Lords over a pretty short period, the efforts to entrench human rights legislation which have simply no precedent in UK constitutional history at all...
How so? UK was instrumental in creating the European Court of Human rights? Surely they did not believe at the time that they are just creating it for everyone else?