The hypocritical nature of reaction to political bias

ingroup-harming biased messages/acts are considered more serious and are more likely to warrant corrective action...

Liberals in the United States decry the bias of Fox News, while conservatives decry the bias of the New York Times. But new research suggest that partisans do not care much about political neutrality.

The study, published in PLOS One, found that partisan mostly cared about political bias that harmed their own side. 

The research:
http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0196674

The friendly explanation:
http://www.psypost.org/2018/05/political-partisans-not-really-concerned-political-bias-per-se-51325