Only true if you’ve forgotten their lack of critical reporting on WMDs during the run-up to the Iraq war and their frequent mistakes in reporting on Trump from 2016-2020.
I seem to recall the NY Times among others reporting that the leaders of all other countries except the U.K. were saying the evidence of WMDs is false. I am not aware of "frequent mistakes" in reporting on Trump while he was in office. In any event, they were much more likely to report unbecoming verified facts concerning President Trump than were the Fox "News" and their like.
All news reporting contains some level of bias.
That is recognized by good journalists and that is why they go through an objective process to determine reliability of alleged facts before publishing.
The mainstream media tends to be biased in favor of the national security state and people within the US national security state were uncharacteristically rattled by Trump. I mean, hundreds of articles about Trump were published citing nothing more than anonymous sources as evidence.
There is nothing wrong with reporting anonymous sources so long as the reporter does the due diligence to verify the credibility and reliability of the source. This was, after all, how Woodward and Bernstein broke the Watergate story using the anonymous "deep throat" source.
The problem with Fox "News" and Trump using "anonymous" sources is that they either make them up or, if they exist at all, are not objectively vetted for reliability and credibility.
And regardless of whether it’s true or not, it’s newsworthy given the size of Carlson’s audience…
It is only newsworthy if it is very likely true. That is the problem with Fox and other "news" services (Info Wars, National Enquirer etc.). They don't care whether it is true. There is not much difference between that and outright lying.