The BBC is government-controlled in that its money is collected by the government, which can punish people for not paying, and organizations know where their funds are coming from and attempt to prevent those funds from being stopped.
>The BBC is government-controlled in that its money is collected by the government
No, the licence fee is collected by the BBC, by law.
Section 365(2) of the Communications Act 2003:
>Sums which a person is liable to pay by virtue of regulations under subsection (1) must be paid to the BBC and are to be recoverable by them accordingly.
Reread. I used the word "intended" deliberately. There are many indirect mechanisms, that are open to abuse. You described one. It's not the same though as direct control.