the old MMA gym had me do the typical try to stay planted on the lead as possible as it would be better for TDD (a funny statement when you think about it).
Switched gyms last year, and they've been teaching me the raising on the ball, and it feels much more natural, faster, and stronger for me. Pivoting is much more fluid and easier. It also blends well with the way I stand and move, I tend to be on the ball most times. Also, its not like you have to raise to the roof on it, as long as there's a rise to get onto the ball.