However, it's a bit unclear how this ties together with Dunning-Kruger effect (which is also used as an argument against democracy). The D-K effect would suggest that if you allow people to express doubt, the experts will doubt more, and overall performance will decrease.
It would be interesting if someone did a psychology experiment on that. (I am actually in favor of doing these kinds of demonstrations in high school, because it's in my opinion important for people to understand how democratic voting works, for example the fact that voting won't get you a simple average of the results - which is usually used as an argument against democracy.)