So, this is a massive and hard-to-summarise question.
You’re right, a lot of what goes wrong in the media isn’t lies. It’s not even deliberate misinformation. The Chinese Robber fallacy is spot on, but it’s also: if you, say, hear that 180 women are murdered in the UK each year, that sounds dreadful (obviously it is dreadful). And if you’re not used to asking questions like “is that a big number” or “what’s the base rate” then you can easily be misled by large-sounding numbers.
A lot of it is just being unfamiliar with numbers (book plug alert! Out today! In the UK at least). Most journalists aren’t very good with numbers, or with thinking about how they reach the news. Sure, there are plenty of grifters and boring contrarians, but there are also a lot of well-intentioned people who want to do good in the world but aren’t brilliant at thinking “wait, that SOUNDS important, but how would I go about checking whether it is or not?”
(Also there are quite a lot of people who are quite unreflective and just think that fighting the culture war is the most important thing you can do, although they wouldn’t necessarily say it that way.)
Does that sort of answer your question?
Right guys I’m going to have to stop for now because I need to go and help with my kids’ dinner. I’ll try to answer some more tomorrow. I’m really sorry I didn’t do this yesterday: it totally slipped my mind among all the various things I’m doing at the moment (I have a new book out today!). Sorry if I haven’t got to you yet