No, that's pure nonsense and even the framers of the Constitution knew that, hence the need for a free press, one notion they actually did get correct.
For a free press to actually be a free press they should have only one master: the public. A free press is only responsible for giving the public the best attempts at the truth. Anything else, including what you imply here, means they are just becoming a propaganda arm. A network that insists on this 50-50 split despite the topic or truth is just an attempt at being the propaganda arm of both political parties. That's not the role of a free press in a free democratic society. The options are not a) be a propaganda arm for one party or and only or b) attempt to be a propaganda arm for both parties simultaneously.
The third option is for the news networks, which are supposed to be the free press in a "free democratic society", to work for the public not either or both political parties. So if there is an issue with scientific consensus, like climate change, their only responsibility is to present that scientific consensus honestly to the public, not 50-50 publish the other side. Or, in the case of this interview, if Trump is going to pathologically lie, then the interviewer should be hard countering over and over again with no problem cutting off Trump's mic so it's clear that the truth gets more airtime than a bunch of lies and propaganda. That's what a free press in a free democratic society does. That is their role. That is the only way to hold out-of-control wealth and political parties in a two-party system accountable.