Traditional Shotokan styles teach mainly linear movements. Meaning, anything that goes out and comes back such as a side thrust, back kick, front kick or a stomp. Arced kicks, such as Round houses, hooks and most crescents are an addition from taekwondo or Gojo Ryu (even gojo ryu doesn't teach all these kicks in a traditional sense) The good thing is that your instructor is not limiting you in your techniques. I teach Shotokan and when training for a traditional competition, I tell my students to stay with the basics (jab, reverse punch, front kick, side thrust, etc..)In class I teach everything though, Ax, scissor, and everything you mentioned.