He's clearly seen the response people have to
Taylor Lorenz and her brand of "journalism" after she tried to dox and cancel Libsoftiktok. Jack's trying to generate sympathy for himself by making it sound like he's been unfairly targeted by the media machine for his political beliefs. He's hoping that people will simply see Washington Post in his tweet, start to associate accusations against him and tales of his past sexual escapades as just more "leftist propaganda" trying to shut him down because he's a right wing figure.
It's almost clever but it's not going to work. Too many people have seen the video of him shoving a dildo up his ass and the other one about how much he loves tight college boy asses. And for the people who haven't...well we can always link them to those here!