See also @RealPressSecBot, which hammers home the point:

https://twitter.com/RealPressSecBot

For those who don't want to click, it collects Trump's tweets in real-ish time, and reframes them into images of official-looking messages. The latest one as of the time I post this comment begins:

    THE WHITE HOUSE
    Office of the Press Secretary
    
    FOR IMMEDIATE RELEASE
    May 23, 2018
    
    Statement by the President

And then puts the text of Trump's tweet immediately below.