Interesting result, and not entirely surprising. Of course, one does have to apply critical thinking when deciding whether to trust the fact checker. Would you trust one on InfoWars? I certainly wouldn't.
Hey, here's a thought: let's make fact checker a new profession like law and medicine, complete with a professional certification board to accredit (and discipline) practitioners. News organizations, political parties, marketers and others could display a fact-checked icon if (and only if) a professional has given the OK. False claims of certification could be prosecuted as fraud, and checkers could lose their license and even be sued for malpractice if they get sloppy or corrupt.
What do you think? The main problem I see is how to get started--who forms the board and why should we trust them? We could look to the history of other certification bodies as a model, I suppose, but I suspect there is an inherent political aspect to the problem that will be difficult to resolve: in the immortal words of Stephen Colbert, reality has a liberal bias.