If some guy gets into medicine because their parents did their homework, drilled them in SAT techniques, and hired a firm to fabricate a good admissions letter, are they really more competent than a kid who did their own homework, got a high SAT score because of their IQ and good study habits, and wrote an honest admissions letter?
Do people think our current politicians are legitimate? I'd rather see them be more willing to say what they think, and act with conviction than get a guy who is 0.1% more popular.
Yeah, it's a strawman. Will randomization discourage people from playing the game dishonestly? Or will people panic, and play the game harder, and give up on the honest component of what they are doing? I don't really know.