As long as the horse is trying as long as they do not commit a capital offense such as biting or kicking I do not infer a capital physical punishment. A spoiled horse like a spoiled child is a danger to himself and every body around him more over he seems angry and never seems happy because you are asking him to do things in your world and you are not taking charge and teaching him the rules to trust you. What is important is a horse can not make such a statement . No is not in his vocabulary. He wouldn't bull up and say No to the boss mare , don't let him do it to you.
Pressure is punishment to a horse relieving pressure is reward.
There is a time with young foals I want to be the best thing they have ever met and I will teach them all good things come from me . The basics of horse training are the same for gaited horses , the trot is simply replaced by the running walk or other saddle gait . You teach any horse to stay in gait , to be collected, to work off his hind end , to flex at the pole , to not be infront of or behind the bit. If you could there would be no need for gaited horse registries we would just teach all the QH's to gait. Like the elephant that is thought from the time it is a baby he can not break the chain when he is older you can tie him with a string and he will not try to brake it.