What Chomsky leaves out from his analysis is that he himself exists: a member of the elite, central to vast amounts of elite discourse. His ideas aren't marginal and indeed, in many ways, mainstream.
Radicals are, generally, rationalists -- starting theory-first. But in matters as complex as society, you need to be an empiricist.
If you study 'popular opinion', consent, etc. as an empiricist you do not find these categories: elite, media, etc. Rather there are shifting groups of people, each with their own interests, engaged in a competition to have their interests realised.
When fox news called Arizona their viewers left them -- so fox jumped on election denial precipitating events which led to Jan 6th. What is the analysis here, say?
Well chomsky would always 'find his enemies' in the elite: trump down to his base. Whilst this analysis is partly correct, it doesn't explain the existence of trump in the first place: his base chose him. Rather than any prior 'political elite'.
The conspiratorial analyses of radicals always ends up with 'and this is why people don't subscribe to my view of the world' -- it is itself a political project to 'manufacture ideological consent' to their own world view. A mechanism they fail to notice.
A scientist in these matters has to have basically no political project whatsoever, and not bend their empirical analysis towards their status and away from the status of others. And indeed: how many political scientists are there, by this definition? nearly none.