FWIW, our own publicly funded media tends to get criticised equally from fruitcakes at both ends of the political spectrum, so they are clearly doing something right!
At least from observations in my country, our publicly funded media news is right wing, but get called out by right wingers as not being right wing enough and (falsely claimed to be centrist/left wing because they mention a right wing politician being a pervert).
After enough complaints they manage to move the overton window and the news is slightly more right wing. Repeat.
But this wouldn't work in America because it would immediately turn into Trump/Christian propaganda.
The concept of organising your own opposition because journalism is one of the pillars of democracy.