The tax is for picking up TV signals, not for consuming BBC broadcasts. It does fund the BBC, though. Additionally, Channel 4 gets none of the license fee, and it is not Government-run.
(Nor's the BBC for that matter run by the Government - it merely has requirements to be for the public benefit, to represent the UK, and a variety of other things, by law, and in return it gets money from the TV license.)
The post you're responding to did not say anything about broadcasts. But the tax is not for picking up signals, any consumption of BBC media means the viewer must pay the license fee.
The term government is preferable because the term 'state' is vague to people outside the UK. Being a government run service does not mean the BBC is required to follow the ideology on the current party in power.
> But the tax is not for picking up signals, any consumption of BBC media means the viewer must pay the license fee.
Actually... it's consumption of live TV broadcasts specifically (you can consume news, radio, and BBC iPlayer catchup without paying a penny), and it covers all live TV - even if you only watch, say, Channel Five online, and never access any BBC content, you have to pay the fee.
(Nor's the BBC for that matter run by the Government - it merely has requirements to be for the public benefit, to represent the UK, and a variety of other things, by law, and in return it gets money from the TV license.)