<shrug> That's the way I learned. I took lessons on Pasos for a while (1.5 hour drive each way or I'd still be taking them), all show horses, and she taught me dressage style seat, along with corto, largo, fino (on only one horse), trot, and canter on all the horses I rode - including her Fino stallion.
I guess what works for some doesn't work for others.
So true! At one time, I didn't even want a gaited horse, because a friend of mine had one, and when he picked up speed, he would ONLY do a running walk. The canter is so great, I didn't want to give that up in riding! I was so glad to find out that most gaited horses have a great canter.... along with other gaits. But like you say, every horse is different.
Best of luck to you finding what works best for YOUR horse!