Is that still true? Fox, WSJ, Politico, Washington Post etc. - so many are taking on conservativism. Even 'moderate liberals' are becoming 'conservative-lite', to show how open minded they are and bring people together.
There is kind of a schism happening where Journos are often very left-leaning but the press owners are a conservative (or flipflopping) elite. You can see this exact effect in Germany: https://cdn.statcdn.com/Infographic/images/normal/33595.jpeg
But a lot of press supervisory boards are staffed with members of a political party.