Most of the major newspapers in the US are fairly credible, despite having issues like 'both-sidesism' and not doing well with asymmetry.
'Credible' doesn't mean "no mistakes". It means they own them and apologize for them. The Economist is still occasionally apologizing for buying into the WMD narrative during the run up to the war in Iraq.
The danger in "no one is credible" is that it elevates flat out propagandists to the same level as institutions that mostly get things right.
It's sort of like science as a process: what we think we know now may need correcting in the future, but real scientists have a process that allows for (sometimes difficult) course correction.