During the course of a term, professors develop a real relationship with pupils. That relationship is one of teacher and student. Professors assume their pupils are in their class to learn and become vested in making that happen by being an effective teacher. They do their best to understand their students' strength and weaknesses in order to present the class material in the most beneficial way possible. That is a real relationship.
Sure there's a relationship between professionals and pupils, it's a standard student teacher relationship. In order to reliably distribute knowledge to people, you need to earn their trust and respect first and the only way to effectively do that is to establish relationships with them. I think another word to describe it would be rapport.