Terry Silver - a better sensei than Mr. Miyagi?

I can't help but think that if Terry Silver decided to train Daniel for real, he would be a lot better sensei than Mr. Miyagi. Of course Miyagi's karate skills were superior to those of Silver, but his teaching skills were not. Just watch the training scenes with Terry and Daniel. If you forget for a minute all lessons were set up against Daniel, then it really does look like Silver tries to teach him some karate. Mr. Miyagi, on the other hand, tries very hard to teach Daniel as little as possible or even refuses to teach him anything. His lessons are more like Zen or Tai Chi or "how to live in harmony with nature" lessons than actual karate lessons. I always wondered - is Miyagi so reluctant to teach Daniel because he doesn't see any real potential in him?