What would happen if we posted jobs that said preference would be given to applicants without University degrees? Then, still others disqualifying people with

What would happen if we posted jobs that said preference would be given to applicants without University degrees? Then, still others disqualifying people with a master's or higher? It would encourage people who were so exceptionally competent that they could survive in their fields without the degree, and filter anyone who cheated or faked credentials at the least. Fun thought experiment.