I used to subscribe to your point-of-view, but don't anymore.
The traditional teacher-pupil relationship is well over-rated, and may be more efficient in the very start of the learning curve. Once the basic toolset is available, I'd much rather transition to deliberate solo practice and a mentor-mentee/craftsman-apprentice relationship.
In my experience, during any kind of medical/surgical training, these "wet-fingered" surgeons/mentors are the really ones that are sought for, not the big names who are famous on lectures halls and congresses. I believe this is also true for other complex skills as well, such as in startups. YMMV though.