No, of course not. Look at the recent events: the governments asked the press to organize their own "Truth Consortium" that would decide what's "fake news" or not and label it accordingly. Why make it a part of government that could, in principle, be made somewhat accountable to the public? Better leave it in the hands of the few owners of the news consortiums. They'll self-regulate all right, with the public interest in their minds first and foremost.