If you truly dislike bullshit writing and don’t want to support it, hit the publishers where it hurts: don’t read it, and don’t link to it.
Marco brings up a good point, but there is another side to this. The mainstream media often writes complete shit articles that are factually wrong. Ignoring it won’t make it go away. The average consumer often believes the crap these people write, so taking them down a peg or two may help.
I honestly don’t know if it helps or not, but I feel a responsibility to point out articles that are incorrect. Perhaps shaming them and the sites they work for will help.
Of course, there is a group of people that just write bullshit for pageviews — I don’t always link to those.