Just imagine that a politician tells on TV that 1+1=3. If you use that info for something financial, it's only your problem, neither the politician's who is defying the basic math, nor the media who has taken (correctly) the wrong statement.
Of course, media does its share of manipulation and FUD in more ways, like "favoring" certain types of news, but for those it will be even harder to sue them.
And about governments... as long as the central banks have warned you that crypto investments are very risky, you're on your own.

All in all, you are right - that is indeed FUD and market manipulation  - but unfortunately I don't think that you can make a case against them.