No, it isn't creepy. Hippocrates and physicians in his tradition worked their ass off to treat patients, and to teach WHILE treating patients. They needed some security that their students would treat them with the same respect and care with which their teachers treated them. Apprenticeship.

Speaking as a medical student, I see some students treat their profs with LESS respect than they'd show to strangers or potential patients. It's kind of scary, the degree of entitlement that can be shown.