The NY Times has always been on Team Israel. NYC has a lot of Jewish people so I don’t think it’s an odd or bad thing as long as it’s understood by readers. The “voice” of the Times is that of New Yorkers in the same way the BBC is often that of Londoners even if they try to be objective. The BBC is still a reputable news source even if they covered the Queen’s Jubilee like fan girls.
But not using “occupied territories” or “Palestine” is just silly. That’s what everyone calls the West Bank, Gaza, and (usually) East Jerusalem, collectively. It’s not offensive to ask “Did you go to the Palestinian side?” after a Jewish friend comes back from a trip to Israel. No one but maybe the Israeli far right gives a shit if you say “Palestine.” It’s like refusing to say “New York” and requiring everyone to say “Manhattan, the Bronx, Brooklyn, Staten Island, and Queens.”
And for the record, The NY Times is also biased towards yuppies and Ivy League schools. It’s always been the upper crust NYC newspaper. I’m not making some sort of coded “Jews control the media” argument. A Presbyterian asshole from Australia controls like a third of it, including the NY Post. Jeff Bezos owns the Washington Post and he worships Jeff Bezos, as far as I can tell.