Robots will be just as corrupt. However they will be heartlessly so. An independent self-learning AI is always going to start with human-based precepts and then learn from there. The rules they develop will be inhuman over time but the roots of those rules will always be grounded in the human-based precepts. One of the flaws of Democracy is that nothing changes fast enough when it becomes clear there is a problem. If everybody had the ability to vote in real-time we'd live in a much sounder society, even if it sometimes took multiple iterations to fix a problem. The iterations would be over the course of hours and days instead of years and decades.
This morning alcohol was prohibited but then we voted again and now it's legal again, just in time for happy hour. Tomorrow's agenda is guns... sounds chaotic to me
I don't think it would go down like that. I think people would have more respect for the issues when they had to deal with them every day. It's like the Supreme Court and Stare Decisis. When you realize that something could be heavily disruptive if approached the wrong way you live with the decisions you've made and in some cases with the decisions made before you arrived. This is because any other path leads to overall disrespect for the law and then where are you?