"Official state media" is more correct
Sadly, this ideal of the Westminster system has been under attack for the last decade or two. Secrecy has been broadly imposed on the public service and non-partisan department heads are sacked and replaced with political lackeys. The ideal isn't dead though. There are people in the public service who are trying to keep it non-partisan, and those efforts should be supported rather than it all being written off as a hopeless case.
[1] https://sef.psc.nsw.gov.au/nsw-government-context/the-westmi...
Westminster type systems are arguably hybrid oligarchies. Australia is a good example - look how it continues to function in largely the same way, on largely the same trajectory, despite having 5 prime ministers in the last 10 years.
Your original comment had truth to it but bundling the BBC in undermined that, however you define it here.
"Public Service" is plainly a positive term though. It lends an air of altruism. Not particularly interested in what nomenclature is standard (according to who? 7 etc etc).