People of exceptional intelligence is able to learn new things and think through a problems easily, but what makes a real difference is if you already own the building blocks of the new idea or not. A transpiration vs. inspiration kind of thing.
Anyway, I think the argument is that you should be judge by average and impartial persons (a jury or a judge) because, otherwise, you are not in a egalitarian society.
Somebody could argue that an egalitarian society is not efficient, but history teach us where that finish: there is always people on the ready to declare themselves above the others. So we have to aim to some kind of balance.