Criticizing the meat of the article is fine, or pointing out a particular ax the author might have to grind is valid too. I'm taking issue with the criticism that Bair Weiss is a bad woman therefore anything on her site is fake news.
[1] https://news.ycombinator.com/item?id=32100018
[2] https://en.wikipedia.org/wiki/Bari_Weiss#2017%E2%80%932020:_...
does the site have a track record of reliable fact checking from their editorial team which reviews submitted content?
You can judge this article on its own merits, it's essentially a one off. It cites some sources, is written by subject matter experts, and is making claims about publicly available data. Do you really need a fact checker to gate keep here? I fail to see how the place of publication has any bearing here on the correctness or soundness of the arguments in the article.