This widget requires massive amounts of work. Classifying news sources as "outright 100% true" and "outright 100% false" with their green/red mark label system is not the right way to do things.

They have very complete "Nutrition Labels" which allow for more complex ways to classify sites, so why don't they use them?

This can work but not for the time being. I highly discourage anyone from trying to get source guidance out of this widget in it's current state.

Based on the forementioned Nutrition Labels, they clearly have plenty of information on the sites they rate. All they have to do is use them more openly and make them simpler for a user to understand, instead of just putting them side to side and saying "This is great", "This is terrible".