Earlier quoted context omitted.
I'm not sure I'd agree that there's been some "backlash" - on any discussion, both sides will quite happily criticize the BBC for bias, which I take to be a good thing. The funding model behind the BBC is a bit suspect - I'd prefer a direct grant from the government. Alternatives are not particularly palatable - it becomes a department of the government, or has to self fund and becomes just another commercial provide…
You might be replying to the wrong comment; I never mentioned "backlash". Less popular, less relevant, less trusted, yes.
Also I haven't heard about the BBC becoming less popular, do you have any evidence for this? As far as I recall, BBC 1 is still the nation's favourite channel.
It would be interesting to know how you voted in the EU referendum, as I tend to find this sort of anti-BBC-ness the greatest amongst Leave voters for no apparent logical reason.