Back then, the "press" was the only method of communication other than actually talking to people. But the point was that the government couldn't infringe a method of communication.

EDIT: Note, for example, that the Federalist Papers that drove much of the discussion behind the policies in the Constitution were self-printed by Franklin, et al. Newspapers at that time were highly political and opinionated, like Fox News today, and did very little actual reporting of news. Journalists and "the press" didn't get conflated until much later.