LMsA: He has zero self awareness and people skills.
That is exactly what I was thinking when I saw his response. He is counting on people only reading the Twitter exchange and taking his word for it, but once they look into the issue he will look worse and worse. His approach is always to attack first and tear down his critic, without considering how things will look once more information is out (or, as in this case, is already accessible).
And it's funny to see him gripe so often about people hiding behind anonymity after he spent years doing so himself. I agree that he is using his personal name because he needed to build his brand and massage his own ego. But also, he hates that he cannot just doxx everyone who antagonizes him. So he tries to deflect and make bad arguments, as if people can't see through it. Especially the ones who might be thinking of joining his Patreon.