I am not paying for a "chance to learn". I am paying for a self-professed expert in pedagogy, whose has spend devoted their proffesional life to the art of shoving information into arbitrary people's heads. I go to the doctor because I want a professional with knowledge of diseases to fix my cold, not the crystal homeopathic healer that lurks on the street outside my apartment. Teachers are supposed to be experts at…
You're describing a tutor, not a teacher. It's the equivalent of blaming the customer service rep when something their company made broke.
I had the same thought, but what practically is the distinction? The only thing I can come up with is scope, but even then, there are plenty of tutors that teach a fairly wide range of a topic like a teacher would. I have seen plenty of Calculus II tutors but never a integration by parts tutor.