The majority will likely state they prefer to see points, because people will systematically underestimate the (negative) influence the data have on their decis

The majority will likely state they prefer to see points, because people will systematically underestimate the (negative) influence the data have on their decision making, much like people cannot accurately estimate their own ability to drive cars with above average skill. Paul, in making the judgment, if even a third of voters think points shouldn't be displayed, it is a strong indicator that that's the right thing to do, because there is no countering cognitive bias that would cause people to state that they want less information.