Replying to myself to correct the record: I fell for some low-effort propaganda here. A bit embarrassing.
Anyway, no, there is no evidence to support this claim. Based just on internet traffic, CNN alone commands 1-2 orders of magnitude larger audience. Duh.
Where is that traffic sourced from? I am neutrally curious about it myself.
Yeah, there's that section of the population that is all "oh no, you can't tacitly approve of listening to [thing] or [some opinion] because that's a bad think". And then there's the rest of the population that just doesn't give a shit and won't hesitate to say "yeah, the government is not your fucking dad, maybe it's time to grow up".