It's not left vs. right, it's establishment vs. anti-establishment. New York Times was a major cheerleader for the illegal US invasion of Iraq in 2003 and uncritically repeated falsehoods from George W. Bush, who is not exactly a leftist hero.
It also was unquestioningly supportive of any and all covid NPI's. NYT was one of the major publications that would routinely report the "covid kill rate" at like 4% despite massive data suggesting it was at least one or two orders of magnitude off depending on the age bracket.
