I wouldn't be surprised if he's gearing up for another Trump presidential run in 2024. Probably not Donald, but one of his kids. Thinking (hoping) he is on his way out of the public sphere is naïve in my view.

That being said, the Republicans will have to look at the 70m people who voted for Trump and reassess what their core voter base values. So to answer your question, i believe the media outlets you mentioned will continue to be on the right of the US spectrum.