Officer classes were usually trained in horsemanship for very good reason. It's one of the few transformative experiences that can be taught and practised. Before cars, horses were probably one of the few sources of what we now call "peak experiences" available.
Today we can fly and jump out of planes, ride motorcycles, surf, and achieve the transcendent "self-actualization" required for leadership through a variety of other peak experiences, so horsemanship has become a kind of esoteric pursuit. But the underlying need for self-actualized leaders hasn't changed. Or maybe it has, but a few people still see the gap but don't have the words to describe it.
Looking forward to reading Anabasis.