No, I'm going to have to elaborate on the concept of 'a good teacher'. Sorry about that!

My daughter went to one of the universities where a very high proportion of the students came from private schools, most charging very high fees indeed. (She didn't, by the way.) None of her fellow students studying English Literature, or Philosophy, for example, had read actually read any of the set texts for the 'A' level in their subject: they had read a few carefully selected pages and study notes. Now, these teachers were very successful in getting most of their students to sought after places in highly respected institutions. But in my opinion they were not good teachers. And by the sound of it, since they inculcated the skills to pass exams rather than actually learn or develop any kind of interest in the subject, I suspect you might not call them good either. On the other hand there are many teachers who do that and are what I would call 'good' who for various reasons stand only the slightest of chances getting pupils to universities like those.

Tricky word, 'good'.