Sorry but you are wrong. Trump's administration has stated that his tweets are official statements. Meaning, he can't block people who reply to his tweets.
https://www.cnn.com/2017/06/06/politics/trump-tweets-officia...
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
https://twitter.com/RealPressSecBot/status/99928406869604761...