If nothing else this should be clear already from these past years. Very few journalist has the kind of absolutely maniacal approach to understanding the world, placing a particular story in it and then effectively communicating it that would be required for blindly trusting a paper of record.
I don't think that the typical view of Gell-Mann amnesia is correct. I think there are issues, topics that are pretty much reliably communicated. Probably local issues, politics, and maybe that's it. Everything else that requires deeper context just gets at least one thing wrong. How wrong is of course an important question, and is usually paper and journalist dependent. (But for example anything involving economics, psychology, AI, the sciences... are suspect.)