Averaged Joes are not independent entities. They network. So you don't get the effect.

What you get is design by committee. Or more accurate design by committee of factions.

The idea that democracy is a great way of solving all problems is just as much an ideology as rule by technocrat.

Arguing the converse would be arguing that one representatives soul has more inherent decisive import than those represented and that's difficult to qualify or quantify unless the representative entity's God himself.