Any approach that is trained to detect "fake news" that just relies on feeding it the article's content is either just going to classify based on incidental features such as style (e.g. sensationalism), "hot words", etc., or if it's really good, classify based on whether the article's content is consistent with the "reliable" or the "fake" narrative extracted from the previous training.
In fact if I'm reading this right, they find out that taking a "fake news" article and rewriting it in "reliable news" style fools their detector. Garbage in, garbage out.