In my teaching days (first-year undergrad level), I would always hand back all homework and exams upside down. It's not my call whether a students' grade on anything should be visible to their neighbors
On the "I actually would have been the cool teacher" side of that equation, I can totally see myself administering a modified version of the G.O.A.T. on the first day of every school year.
And then there's that brief moment where you think it won't be too bad before turning the paper over and seeing the most dreaded words in the English language: "see me after class".