The pain of losing Empire was considerable to Churchill and other leaders under whom it happened. So a pseudo-Empire was created and called, rather pompously the “British Commonwealth”. It was ersatz imperialism , a gathering of nations that had little in common other than the fact that their citizens had once been subjects of a King or Queen Emperor/Empress in a Palace in London.
The Commonwealth was not designed to be or do anything substantial. It took over the “Empire Games” a quadrennial sporting tournament which the Brits rather liked because we won a lot of medals. A mini Olympics shorn of the best athletes.
The “British” designator was dropped, the number of nations expanded – some even with no British connection. That said there was still little of substance for the countries’ leaders to do other than eat well and exchange fraternal banalities.
The Commonwealth has never been political, and most of its members are republics. It was briefly a trade alliance (“Commonwealth Preference”) but never has the association acted collectively to do much. The countries mostly speak English but they are scattered around the globe. They have British High Commissions rather than Embassies but without collective power or authority the Commonwealth is a Ruritanian anachronism.