Trump has banned CNN, NYTimes, LATimes, and others from the White House press briefing. Where are the Constitutional originalists on the right on this one?
Certainly if he banned the entire press from White House briefings then you'd be on to something. However, since he is really only banning Democrat Party media then there's really nothing to this than the outed complaining that Trump is playing politics when they in fact started the game with him. How can they expect to be treated as if nothing during the campaign happened? They essentially called him a Nazi, racist, deranged, and rapist. And now that their preferred candidate lost, they want complete access to someone they hate. Good luck with that.
Now, if he was attempting to limit the ability of the press to operate, then you'd have something to complain about. No such thing is happening. There are plenty of other media outlets gaining access. Also, those banned organizations can still print and air whatever they want.
I'm not sure constitutional originalism is even an issue here. If you openly align with a political party and are upset that you are on the outside then you either have to suck it up and deal with it or drop your political affiliation and become a politically neutral new organization. Neutral organizations always get full access.