A lottery solves every problem except the ones that matter for governing. The core function of an election isn't just choosing someone; it's creating a feedback loop. A president who knows they'll face voters again handles crises differently, and a president who knows they can't demands no accountability. Random selection removes both the check and the incentive. You also lose the entire vetting process: the debates, the interviews, the opposition research. With a lottery, your president might be brilliant, or they might be someone with no management experience, no crisis training, and no sense of what the office does. Accountability and scrutiny aren't optional extras. They're the mechanism. Without them, any random winner is just a high-stakes gamble.