There are a number of ways the media "tilts" information to serve its purposes. Usually it involves selective use of data ("filtering" original material), extensive use of marginal sources (mostly anonymous), quoting out of context, a huge imbalance in cross-checking and analysis depending on whether a piece of information supports or doesn't support the agenda, and some others.
I actually find the "straw man" and "weak man" arguments fall quite low on the list of media failings. In other words, the authors of the article, who have an obvious "tilt" of their own, are essentially committing the errors they're warning us about.