Mainstream media types loathe the conservative media as much as the conservative media loathe them. The mainstream thinks conservative media are hysterical, ideologically driven by bad or stupid or evil ideas, and are simply after liberal scalps. They do not want to join those they consider jackals.
But the conservative media serve a second purpose, not only for their audiences but for the mainstream. The existence of the Right media means that the stories are being covered by someone, which relieves them of some of the responsibility they might otherwise feel to do the job themselves.
Even better, from their point of view, they also believe the stories are being covered in such a way that the mainstream media can dismiss them and attack them.