You're right, and it's possible that fighting incorrect facts might be a losing fight. A news article can have many correct facts, it only needs one lie that fell through the cracks in order to bias the readers.

Talk to anyone from a country with a corrupt government. They often know at a very deep level exactly what's going on, since they were born in an environment where things only make sense if you are skeptical and look at the motivations behind a politicians actions.