His droplet shaped body and slightly fat, hanging cheeks are quite common among IxTp types. His distant, passive gaze, in my opinion, is very different from that of ESxp types.

Also left-authoritarianism is not necessarily Beta. You've got a lot of people refering to Ayn Rand as a typical Beta despite that she is strongly right-libertarian. Either these people are dead wrong (and I do mean in a really, really embarrasing way cause they would be pegging her opposite to what she really is), or the "political compass" is not type related, and so Mao's tendency to authoritarianism doesn't indicate he is Beta.