The biases tend to show up in the details that are left out rather than any details that are falsified. That's what tends to make it so hard for the general public, because if you don't know what's being left out before you read the story you only get the perspective being framed.

That's the trouble with fact check. It gives the illusion of that you're seeing the entire picture when you could just be looking through a keyhole and not know it.