If more people watch Rogan, then by definition Rogan is more mainstream than NYT.
In the specific context of "OpenAI doesn't want that story to be written, but after Microsoft Tay, you can be sure someone's got an axe to grind and is itching to write it, especially against such a high-profile target." there is no 'left' or 'right', no 'woke' and whatever the opposite of that is.