As an outsider looking in, Britain doesn’t have a shadowy elite - the elite is there in plain view and has been for centuries: there are parades with golden carriages and everything.
And below the monarch there’s the aristocracy (many of whom were or still are legislators in HoL or acting as govt ministers) and below them, suffused throughout institutions that make decisions (both political and cultural), are the Oxbridge set (including Russell graduates these days).
Britain, unlike other countries, is pretty open about having an elite and, nowadays, the elite displays performative guilt about their positions of influence but no-one’s really doing anything to change the traditional setup.
Every country has networks of well to do people at the top of society who know each other and help each other out - it’s not rocket science.
I recently read Christopher Lasch’s book https://www.amazon.co.uk/Revolt-Elites-Betrayal-Democracy/dp/0393313719 it’s an interesting argument for how these self-reinforcing social structures can serve to frustrate democratic principles and function in countries.