For many years, I trained for the public and the biggest part of the horses brought to me because they had bucked riders off got their start bucking with just a saddle.
Some horse get it out of their system and others just get practice and decide they really like it. Our whole training program has been built around NOT letting horses do anything at any time when we are supposed to be in control that we do not want to have them do with a rider.
Consequentially, we have trained horses for many years that can be turned out for months at a time and can be saddled up, mounted and ridden off. It is what they expect to do.
Horses are creatures of habit. I would no more turn a horse loose to buck the first time it is saddled than I would put a flank strap on it to ride it the first time. Horses buck initially because they are afraid of the saddle strapped on them or are in need of turnout time and play-time. The last thing I want is a horse that thinks bucking should be its learned reaction to fear.
If a horse just plain feels too good to be listening, it needs more turn-out time or very controlled longeing time UNTIL it is trained enough to let the rider control it even though it is 'higher than a kite'. The controlled longeing should never be at high speed but with slow jogging, stops, reverses, back-ups and transitions until the horse is thoroughly bored and ready to listen. Ultimately, the 'finished' horse is one that you just bring in, saddle up, get on and go ride. That has always been our goal and letting a horse buck and tear around just has no place in it.