Why does this matter? Because most of the articles claims are based on "spoke to us" quotes from anonymous staffers which cannot be independently verified. So it falls to the reputation of those publishing and their journalistic integrity/process, and at that point I leave it to you to make up your own mind.
[0] https://en.wikipedia.org/wiki/Bari_Weiss#2017%E2%80%932020:_...
She certainly learned a lot at the NYT.