Yeah but AGI would control both in the end.
Maybe AGI takes over after it emerges as a solution to our inability to select competent candidates for political office.
I think it could be better until it won't. Like with dictators sometimes they "do good" but the issue is that at some point they will start doing more harm than good and they may not want to go away.
A succesful revolution against an AGI ruler may become impossible.
And I don't think we need sentience for AGI, so "want" may be the wrong term anyway. You could argue that the reward function is close enough ("do submarines swim?" etc.), but a human-made reward function is almost certainly going to be designed to be as close to aligned with our interests as we can manage.