My experience was pretty contrary to points (1) and (4). My best teachers/professors directly conveyed information or skills. I found most students did the bare minimum to pass their classes (where "pass" = "not get their parents mad"). I tried to get a CS club started at my highschool and basically no one was interested, not even my friends.
Now, I did have a great coach in middle school who "created the conditions where willing students will learn", but I don't think she would have been a good teacher. She was great at organizing club meetings, finding the right materials to study, utilizing intraclub competition to motivate everyone, and getting her former students to come back and teach in highschool. I'm sure there was a lot more going on behind the scenes that she just knew how to do right, which made the club a whole lot better. But she wasn't a teacher. Closer to an administrator, but I think "coach" in the (m)athletic sense makes the most sense.
And, this is probably why my computer science club was not the success I envisioned. Yes, people are generally underachievers, but I also did not have the coaching skills to create the conditions where people wanted to overachieve.