Progressives are 6% of the population:
https://www.pewresearch.org/politics/2021/11/09/progressive-.... The NYT could be very left leaning and still get criticism from a small percentage of the population that’s even further left.
One example: the NYT fired its opinion page editor for publishing an article by Tom Cotton calling to suppress the George Floyd riots with the National Guard. For context, calling in the Maryland National Guard to stop the Freddie Gray riots was one of the most popular things Larry Hogan ever did in that blue state. Cotton’s opinion was squarely in the mainstream, and by firing Bennett the NYT revealed itself to be quite far to the left.
Another example is anything touching on affirmative action. Americans oppose taking race into account in hiring to increase diversity by a 3:1 margin. It’s an extremely unpopular and out-of-the-mainstream position. But the NYT engages in such hiring practices. And when you read the NYT’s coverage of such issues, including the supreme court’s decision in SFFA, it’s clear where the paper’s bias lies.
This bias manifests in the way articles talk about events. For one thing, it’s quite obvious from the tone of the article what the author thinks about particular policies or events. An article about Biden’s declining support among minorities, for example, might be framed as a bad thing, instead of a positive development. You will also get selective use of what policies are labeled as “liberal” or “conservative.” Restricting abortion gets labeled as a “conservative” position (which it is), but affirmative action doesn’t get labeled as a “liberal position (which it is). You’ll also see a difference in when public opinion polling is disclosed. Articles on Dobbs heavily featured public opinion in favor of legalized abortion. But articles in SFFA usually didn’t mention longstanding polling opposing racial preferences.