The most practical problem with a lottery is it kills accountability. If a president is picked by chance, they have no mandate, no platform, no reason to answer to voters. When things go wrong, you can't throw them out—you just got unlucky. Elections are messy, but they force candidates to build coalitions, face scrutiny, and defend their records. A random draw might feel democratic, but it actually hands real power to whoever happens to be around them: advisors, party bosses, lobbyists. That's not more democratic, it's just less transparent.