Professors historically were prohibited from relationships with students because it creates the appearance (and high likelihood) of favoritism. And it probably

Professors historically were prohibited from relationships with students because it creates the appearance (and high likelihood) of favoritism. And it probably pisses parents off a lot because the age difference seems creepy. "Power" is a relatively new argument. These days the student has the power to utterly destroy the professor. The professor has at best the charismatic "power" equivalent to any number of smooth pickup artists occupying college dorms, of getting a temporary good time.