Well, uninformed voters is probably a better identification strategy for this (not serious) study. You could pull it off with survey data. From there the results that we’re all assuming would be found could make a great argument for representative democracy. Obviously the issue then extends to “welp, the dumb masses have elected a dumb representative.” Or worse, they’ve elected a smart one that can market to them.
In reality, all a rational voter needs to do in the US is vote for a candidate whose agenda best reflects their interests. Somehow, that’s an impossible expectation for us.