I think this kind of criticism is in bad faith. Because there's an implication that you're comparing the BBC to some kind of ideal unbiased news outlet.
In reality, the alternatives to the BBC are much more obviously nefarious and make far less steps to remove bias.
If the BBC is a tool to "propagate elite opinions", then how would you describe Fox News, the Daily Mail, The Times (UK), or even CNN?
"I'm not forced to pay for those via a tax" would be the key difference.
edit/reading/watching/
They never checked if I was reading the BBC website when I lived in the UK without paying the license fee.
Still don't now I'm outside the country.