Though I don't own a school and only teach "unofficially" in Martial Arts. I can tell you that there is a difference between those who HAVE experience, training, or schooling on the specific subject of teaching and those who don't. I mean no disrespect to anyone who has no teaching training, this is not meant to be a sweeping generalization. I have been taught by both kinds, and both kinds have been highly effective teachers. One is not necessarily better than the other, but they are different.
Formal education in teaching or even a few psych courses can give some insight as to how people learn. There are many who teach the same way that they were taught and it works. But this is a different culture than that of which many of our teachers came from. We live in a "kinder gentler world" where smacks on the back of the legs with bamboo really doesn't fly anymore. We also understand a lot more about how people's mind work and how people learn.
So while one is not better than the other, with even some minimal training, teaching can become MUCH more efficient. If you know how people learn, you can tailor teaching styles to the student, understanding what works for different people.
To be perfectly honest, the most frustrating thing in the world to me is when someone tries to teach me in a way that I don't learn well. I have luckily reached the rank and experience where I can at least respectfully say "Sir, I learn much better if I do it this way." Example, one person who I learn from occassionally is of the teaching school of thought where you stop a student and correct them with every movement, constantly tweeking. To me, though, when I'm learning a new form, I need to get the flow and piece all movements together before I start cleaning and tightening up. Many times, I just "go through the movements" to work on memory solidification and go back to get the clean techniques down. Again, one isn't better than the other....one is just how I learn; understanding that about your students can make a world of difference.