The fact checkers can continue to do what they are doing now, they just won't get a visa. They aren't being stopped from doing their job, just can't do it in the US.
I get that your overall sentiment is fact-checkers aren't doing legitimate work, but I'm not sure if you see that the choice you describe can literally only reinforce that sentiment.
If your opinion is that fact-checking as a concept is bad then that's one thing, but if not then I'd be interested to know what alternative(s) you'd suggest