From the other POV, Trump has made a point at picking at CNN, there are pictures of his base giving Acosta the finger and red-faced people screaming at at reporters with CNN sucks signs. They had two packages sent to their New York offices. It's not hard to understand why they would feel like he might need to tone it down because he is the President and should set an example.
I watched Don Lemon after those packages were sent, and he said he had been threatened death for the last two years. He'd been in the business for 20 years and it had never happened before Trump became president and started picking on CNN and him.. While I know many have no respect for Lemon, I don't think he was lying about that. I also think that his statements are what caused Trump to blame the media again that next morning.
IMO, Trump brings so much of the negativity on himself. If he'd just act normal, but he won't. It's got to be consistent lying or a reality show and the MSM runs with it--then he gets offended when they talk about it. As others have pointed out, the news has no obligation to cater to the President or anyone. Trump has a problem with the 24 hour opinion news (as do I) , but he apparently forgot that he had no problem going on FOX and telling lies about Obama for years.
If he doesn't care about Democrats and the people who work for CNN, he should do it for his own safety and family. As so many like to point out, there are deranged Democrats, and the man really likes to push those buttons.