Every riding discipline needs the ear, shoulder, hip and heel alignment to be effective in your riding position. Keeping your heels lower than your toe and relaxed helps to stabilize that position. Now whether all this is enforced or not, depends on the rider and trainer. Some disciplines are much more conscious of this position, especially equitation classes where its all about the rider's position.
But if you are a true rider and horse person, you know that correct position is very important not only to staying on but being able to influence the horse correctly.