Bullshit.
Your "argument" (lol) means nothing unless you provide more information. What was the type of horse, and riding skill of rider, how fast was the horse going (full speed?), was the infantry moving to or from or perpendicular to the rider. What was the power strike of the rider, what was the type of weapon the rider was using? What was the type of armor the infantry had, how much iron flesh and strength? Where on his body did the infantry get hit?
IMO melee cavalry ranks like this (in terms of effectiveness): polearm (lancer), 2h, then 1h.
That's bs Huseby, I've never seen you using your 1hand from horseback myself, not sure how much experience you have with that class.
1h and 2h cav do basically the same damage. That means using a shield gives a big advantage. Really damn useful for fucking over other melee cav when colliding, big bubble to escape crap situations, makes it easier to go after ranged players by RMB bumping them on a first pass.
Now I know last time I talked about 2hand damage, San did some testing, but he didn't really post much information except that the various 2hand penalties were messed up. From my experience, its always felt like the Arabian Cavalry Sword does more damage than a HBS on horseback, in fact it feels similar to using a 2hand morningstar. You 1hit kill archers and probably blackbar heavily armored people with ease.
Most other 1hand weapons don't feel nearly as good though. I've always just seen the ACS as an overpowered option for 1hand cav, but nerfing it would prob make it too shitty.
You just barely see 1hand cavalry on NA, but play some EU strat battles or pub servers and they are more popular than even lance cav there last I saw.