We also manage some walk/trot/canter and some smooth transitions.
Lucano is a left bended horse, so whatever we do from the left he feels more at ease and it seems almost effortless for him.
Nevertheless, I do practice the right side as well (not in the video) as the goal of ST is to straighten the horse equally to both sides. It looks a bit bumpier in the transitions and the vertical imbalance is more visible but as said before, it is not about the physical aspect at the moment rather to find a mutual and respectful relationship to build on.