[praestigiare]

You are of course correct that fact checking is not sufficient to protect us from all the ways that a journalistic work could mislead. But it does help when they are based on lies. As in the article this discussion is happening under. It helps address that problem, specifically. It seems like a strange reaction to say that this example of a lie being uncovered makes you less trustful of fact checking.

In addition to that, I am not sure if you have ever worked with an independent fact checker, but they very much do make an effort to point out misleading, cherry-picked, and out of context information.