Yes...do National Science Fair winners, etc get invited? If not, that’s the kind of invitees that should be meeting the President.
Go to ISEF (International Science and Engineering Fair) and look at 1918’s Grand Winners—one Australian and two Americans of probably Indian decent). Then look at category winners, hardly anything resembling a John Smith there. Even among the Americans, it would be a fantastic display of diversity. I think you are on to something.