Keep in mind that not all TWH's lift their legs like that. Its trend that alot of people are trying to move away from because some breeders abuse the horses to get them to perform like that. There are issues with chemical burning, chains and weights. Its un-natural.
My husband and I have TWH's as does our friend. They are all natural gaited and have never ever been trained with weights, chains, platforms, etc.
My husband and friends horse do not bob their heads... but my horse has a slight bob.
My horse: http://s215.photobucket.com/albums/c...t=100_1991.flv http://s215.photobucket.com/albums/c...ELIGHTCUT3.flv
(these are pictures from when the person who bred her & owned her before I bought her from them)
Her gait is so smooth, its like floating on a cloud.