Besides jab and cross, does Karate have hook, uppercut, and overhand? Also does the concept of "1 step multiple punches" exist in Karate?
IMO, some TMA striking skill are just too linear without 3 dimensional striking. If one always trains 2 dimensional linear punches, he may not feel comfortable to deal with 3 dimensional punches such as jab/cross, hook, uppercut, overhand.
Yes, karate has those and more.