It does. Because forechop/hindkick/caution are easy skills to learn compared to S:IA for example, every time you skill change one of those out for a better skill (hopefully) the chances of relearning it again is high. At the end of the day your horse will have more skills doing it. Many people leveling T9s switch out both hind kick and forechop starting at level one. It means skill change coupons tho, but a T9 is a rather special horse. Hopefully yours will turn out fine, best of luck to you!