Until recently, the New York Times was seen by most Democrats as the gold standard within the mainstream media. Now that even they are turning against Biden and Harris, they are almost as marginalized as fox. Weird!
If your talking about reporting, the NYT has very good reporting and reporters, but this is about editorial decisions and it is important to remember a few things:
1. The NY Times is a New York paper. It is oriented toward NYC, despite the national coverage and bizarre references to it being the "paper of record". (That last bit usually refers in other contexts to the papers that publish government legal notices. I can guarantee you that no entity in my state publishes legal notices in the NYT.)
2. Even as a NYC paper, their focus seems to be on the upper middle class and higher. Certainly the editors and owners think of themselves as the kind of people who get invited to fancy cocktail parties on the Upper East Side with the cultural elite of the city.
3. Editorially, the NY Times is establishment center left/Democrat with the op ed/columinst ranging across the spectrum from centerish right to centerish left.
4. The NY Times is *definitely* convinced of their own importance in the progress of history and it goes to their heads. They think important US politicians and government officials (like the President) *owe* them an interview. (They do not. They can and should talk to whatever media outlets the like.)
When Pres. Biden kept turning down NY TImes interview requests and taking some interviews with other outlets, their response was to complain about it and crank up the "Biden is old" narrative as hard as anyone in MSM. After the debate they went all in for "Biden must step aside" but not just the most tactically sound version (endorsing Harris before the convention, what happened), but propagated the more crazy versions like resigning from office, mini-primaries, contested conventions, alternative candidates, etc.
It is a mistake to think that the NY Times is just "in the tank" for whomever is popular in the Democratic party.
The current "kerfuffle" about VP Harris taking interviews seems to be more of the same. Much of the WH/Political press seems to suffer from the same sense of entitlement.
If VP Harris wants to put and end to this narrative and lay it bare, she should give an interview to the Milwaukee Journal-Sentinel or Detroit Free Press or Atlanta Journal-Constitution.