Yes, fact-checkers often fall short of what many expect. Have you seen Steve Ballmer's recent interview about USA Facts [1][2]? He discusses the importance of adding context to data rather than focusing on isolated "microfacts" I think this approach could move the conversation forward by providing a more comprehensive view.
[1] https://usafacts.org/
[2] https://news.ycombinator.com/item?id=41679316