As a former teacher, do you take some of those skills learned through education and bring them into your musical life?
For you to teach music, you have to remain on point simply because your students are gonna hit you with questions from all angles.. AND all eyes and ears are on you and your playing abilities at all times. So to answer your question, absolutely. Teaching your craft keeps you refining, practicing, and studying. Therefore musically you are always improving... One helps the other and vice versa.