Think of all of the times that Trump tweeted something about a celebrity, or that celebrities tweeted about Trump. I don’t think it can be right to say that these were all newsworthy events.
But suppose that we restrict consideration to only those cases in which Trump tweets something about a celebrity (rather than a celebrity tweeting something about Trump). I think that even this more limited set of cases is rarely news – and almost never news worthy of the front page.
It shouldn't be front-page news if it happens so frequently and through such shallow exchanges. Really newsworthy events are happening every day, but instead of covering them, the Times chose to put a Twitter squabble on its front page. I don't think that we can justify its decision just by noting that the content was political and that the parties to the dispute were prominent.