I would never want to be president. There are two parts of this. There's the actual job of being president, which involves making decisions that affect a lot of people, and then there's the practical side, the fact that as a politician, even when you're not officially campaigning, you're always engaged in impression management, you're always hiding behind a socially acceptable mask calculated to win the fickle affections of the intellectually lazy, ignorant masses who are swayed more by charisma than competence. Even if you don't actually want to run for re-election, to get anything done, you have to forge alliances with people who do want to be re-elected, so there's still a need for image-consciousness.
I don't want any part of either of these things. The decision-making aspect entails exponentially more responsibility than I could ever handle, and the impression management aspect entails far more insincerity than I could ever handle. It's no surprise that a high-functioning Cluster B case would seek the presidency. They wouldn't be as afraid of screwing up, or as exhausted by all the pretense.
It's plausible however that a person who wants to be president could have altruistic or ideological intentions, which motivate them to seek the position despite the privacy and personal autonomy they'd be sacrificing. I don't personally have much insight into the mindset of people with a desire to take real action to "make the world a better place", but it's entirely plausible to me that if the desire is strong enough, it should be able to drive a person to tolerate all the bullshit of politics.