Honestly it seems like you didn't read the thread. He's not talking about how Twitter itself works but about problems in moderation more generally based on his experience at Reddit. Also, he specifically advocates public disclosure on ban justifications (though acknowledges it is a lot of work).
He also makes an important and little-understood point about asymmetry: the person who posts complaints about being treated unfairly can say whatever they want about how they feel they were treated, whereas the moderation side usually can't disclose everything that happened, even when it would disprove what that user is saying, because it's operating under different constraints (e.g. privacy concerns). Ironically, sometimes those constraints are there to protect the very person who is making false and dramatic claims. It sucks to be on that side of the equation but it's how the game is played and the only thing you can really do is learn how to take a punch.
