I'd argue that it's worse news than it appears. Bari Weiss left for the same reason Krugman did (you can make more money for less hassle with a Substack) even though her politics were the opposite and she didn't have as good a gig as Krugman did. Since the NYT had a web site everybody there knows they live and die based on the usage stats, and the usage stats says that people would rather read Krugman, Klein, Brooks…
Bari Weiss is center left by the way. Prior to her New York times stint, she was at wsj editorial pages where she was to the left of basically everyone. If you read her actual political beliefs, she's more of a classical liberal.
I'm not saying that's wrong or bad. I'm pointing out there's a group of people masquerading as "free thinkers" despite their overwhelmingly right wing views, and Weiss is in this group (Batya Ungar-Sargon is another).