One of the great things of the Licence fee was that the Government does not get to control the national TV like it does when the one who pays is it directly. In places like Spain the national TV(and regional TV too) becomes a propaganda machine for the exclusive service of the Government(s, national and regional). It is awful to have your taxes redirected for the private interest of the Party in charge. In fact with…
You may want to double check who's in charge of the BBC. The Director-General Tim Davie is a former deputy chairman of a local Conservative party and Conservative councillor candidate. Not that bad, perhaps. But the Chairman of the BBC, Richard Sharp, was a banker at JP Morgan and Goldman Sachs, advisor to Boris Johnson and Rishi Sunak, and has donated more than £400,000 to the Tory party.
The Conservative party does control the BBC, selecting the leadership according to their political aims or whichever donor has thrown them the most money recently. And the BBC budget and license fee are decided by the government, of course the government can cut funding at any time...
None of this is to say that the BBC is as bad as the worst of state controlled media, just that there are obvious elements of government control, and having one model of funding over another doesn't really change that - the government can still squeeze funding whenever it wants to (and they have done this before).