Note that the sources on the list are there due to the frequent publication of misinformation, rather than their bias alone. As others have noted, the list can essentially be broken down into three categories: state-sponsored media outlets, clickbait-style tabloids, and extremist media outlets. The categories themselves are just a means of summarizing what's on the list though, as outlets in those categories that maintain editorial standards that disallow misinformation wouldn't qualify for inclusion on the list.

Looking at that list, this suggestion seems entirely appropriate.

Completely agree.