just my thoughts, but i fought taekwondo for a bit, and we did not wear shoes for training or for fights. Training was on mats or floorboards, and lasted for 2 hours. Torque and power created by a turning kick, i am convinced is higher than from a punch, and you twist your boy 180 degrees as you throw it.

never had any feet problems, and never slipped over. But the soles of my feet were tough as f*** after training 2 years!