The only thing i find funny about HA, is that they NEED to use both hands for their bow (in contrary of lancers or 1handers/2handers with no shield, even with a shield you could say he's holding the shield and the whatever-the-word-in-english-is of the horse), but providing the horse and the riding skill is the same, HA have no malus in riding, or melee cav have no bonus in riding.
Don't tell me this crap about HA used their knees to move the horse, wich is reflected in the riding skill. I know this, and it's definitely true. But providing the SAME riding skill, cav with one free hand should have a bonus to their riding.
What do you think ? Common sense ?