I imagine your teacher is very familiar with what a good side kick looks like. And I am convinced that he could teach me a great many things about side kicks despite training in Tang Soo Do. How many other arts practice side kicks?
In the same vien, when I practice Naihanchi hyung and I perform a joint locking application, my 6th degree black belt Jui Jutsu professor may be able to teach me a great deal about performing that particular application.
See where I am going with this???
The art is one thing, the technique is another. No art owns a technique. Sitting in front of a panel of experts in various arts and demonstrating can be one of the most powerful experiences in your personal education in the Martial Arts.