Media only has itself to blame. The days of Walter Cronkite and Peter Jennings are long gone.
The problem with what is said on the clip isn't that "CNN lies about it being illegal to look at the Wikileaks," the newsreader said that it is illegal to possess the stolen emails, which is correct. The problem is that he went on to say said that is legal for the media to possess them. This is not correct.
But there is no reason to believe that CNN is intentionally lying about this point, in the way that Fox News and Breitbart intentionally lie about, well almost everything. People make mistakes. It isn't even settled what it means to possess an email, since it is an electronic entity, not an actual document. But the emails are a product of an illegal act and shouldn't be distributed. But whether it is illegal to read them is questionable, as you infer.
Loren is correct, if you consider Fox News to be a member of the media, (and not what they appear to be to a lot of us, just a source of pro-wealth and pro-corporate palliatives and outright propaganda for conservatives), you have to say that some in the media make up stories about Trump. But it is Fox News that is making up fake news in support of Trump.
It goes back to the idea that reality has a liberal bias, that conservatives need a constant stream of fake news to convince themselves that all's right with the status quo and that no changes are needed. 99% of what the legitimate news organizations report on are instances where there is something wrong with the status quo, instances where conservatives are wrong.
This is the success of neoliberalism and movement conservatism, that they have brought into question the gravitas of the media, of science and of the government, in short, of facts and reality. It could only have happened among conservatives with their natural aversion to facts and reality. Couple this with the fact that authoritarian regimes have always relied on, that they can increase the numbers of conservatives, people who are afraid of change, by scare tactics, by spreading fear.