The current guardians of ultimate truth, via the medium of “Fact Checkers”, are … um, the Media. So I’m not sure how that would even work in practice. Who is fact checking the fact checkers?
As others have pointed out, this is entirely to be expected. The purpose of the media is to propagate whatever narrative has been collectively decided upon as True. It is a very narrow and selective view of Truth - and broadly speaking, it’s hard to pinpoint any specific thing in their output and say “that statement is objectively false”. Most journalists/news outlets/whatever are not spreading lies as such. They’re just filtering the truth.
My personal observation is that the public are at fault. They consume this drivel far too willingly, and 95% of the time don’t have adequate knowledge to understand that they’re being fed propaganda. They can’t assess what they’re reading. I notice that you took a swipe at @TT back there on the basis that he actually knows something about the nature of Truth. Ponder on why you did that (I’m serious - I’m not taking the piss) and you’ll have your answer to the problem of The Media.
What do you propose as a viable alternative to the ‘free media’?