He had a small drogue chute and did not exceed the speed of sound.
What I would be concerned about is when he breaks the sound barrier the dynamic forces on his body will change such that he becomes an unstable falling object and then experience G forces that may render him unconscious.
I wear a parachute when I fly my glider. I sure as hell am not stepping outside unless the glider is total uncontrollable.
He is free falling, not rocket propelled. He is not going to experience more than 1 G. Gravity and friction are the only forces involved.
During de-acceleration he may have greater force through his harness, but before.