If the gait is truly bred in, it takes no special riding style. You can ride them bareback in a halter and the gait it there. The rider should not have to "force" the horse into gait but sitting on their butt and shoving their feet out front.
Good horsemanship is good horsemanship on any breed. Sorry bbsmgg3, I agree on the balanced seat being the right way to ride any horse.
I agree a balanced seat is the right way, however, the balanced seat is by definition putting the riders weight over the center of gravity of the horse. The center of gravity is different in a trot than in a running walk and/or rack.
You can destroy the gait of a naturally gaited horse by riding them with the riders weight too far forward, ie, where it would be in the trot. I know this all too well. We completely ruined several of them when we switched to gaited and continued our riding as if they were trotting horses.
I know the trot is driven from the rear, BUT, it is normally with the head down and the back horizontal to slightly up in the rear. I was just trying to make a point. A rack and/or running walk has the back slightly higher in the front than in the back, ie, you try to get the back end "up under". AND, in some trotting horses the head is up and the back is slightly higher in the front, ie, park horses, and saddlebreds, with these, you want your weight further back also, over the center of gravity. I hate to think of all the Arab park horses, we used to see, that had the action, but the trainer/rider could not get it out of them, because of the way they rode them(too far forward). We've taken many, many of these and got the park action out of them, with nothing more than moving the saddle back.
Many horses do well bareback because the rider will almost automatically find the horse's center of gravity. There's nothing between the rider and the horse to interfere with the rider balancing on the horse's center of gravity.