I would much rather have a horse that goes like the horse in your show video, than one that goes in that champion HUS way. That (HUS champion) head down, slogging sort of way of going is not practical, in the least. The horse has hardly any impulsion and if his head is too low, and behind the vertical, he cannot see very far in front of him. How practical is that? Especially if you were to really "hunt" him. He'd fall on his face over the first bump in the ground.
Your horse is a very nice animal; well built and with a very nice and naturally relaxed way of going. Beyond him sometimes being overly relaxed (read: lazy) , I think he moves in a wonderful way and I would not be fussing with his head and yanking him back. If his forward is already on the slow side, yanking his head back every time he puts a bit of energy into his back will only KILL his forward.
Look into riding straigth hunter instead of HUS. It is perhaps more suited to your lovely horse.