I think it is tough cowboy logic that says to ride the bronco and not get thrown so teach the horse that bucking doesn't work to throw the rider. Personally, I don't think that corrects the behavior. Most of my experience with bucking horses was the horse reacting to either me or an outside force. And sticking to their back didn't correct the behavior. My all time favorite horse never bucked, but my second favorite would try. It was always the first transition into the canter while doing arena type work that she would try, and I say "try" because it was such a pathetic attempt. Immediately responding to her attitude by getting her nose to her side and doing circles until she yielded (about 10 seconds average) and then we had a perfect ride for the rest of the day with no attitude. Other horses that I rode all bucked for different reasons, one gelding would try bucking if you cantered in a continual circle over and over, when he started getting upset, all you needed to do was change the size of circle and he would be happy and relaxed. Other bucking horses were spooked, set off by another horse, pinched by a girth or just mad with an ample amount of attitude. Just my experience here ;)
You never met the foster horse Starbuck then...
Smart and quick that one was. When someone before me attempted to break him, he found out through his wiley ways that bucking worked. I don't know what happened after that, but when the Rescue League gave me the go ahead to try and "correct" him after six years of his behavior (nobody of course wanted to adopt a little grade horse who couldn't be ridden), it was just part of him by then. His tack was a perfect fit, tried different bits, even tried bitless or without a saddle at all. Nothing material was the issue, and he had a clean bill of health from the vet.
Bucky (Funny name, right?) had the most ground training in the world, he was respectful and quiet on the ground as long as the handler kept up on him. But he was soooo lazy, was one of those horses who simply did not want to do what you wanted and had their own minds and ideas about how things should go.
You could ride him around the pasture, and he would do beautifully in the ring. But you try to take him out on the trails and he decided that was too much work. Ask for a canter? Nope he would buck. Go up or down a hill? Buck. Again, he was given the full go ahead by the vet, and though I'm not perfect I am a decent rider with light hands.
Some horses just need to learn that bucking won't get them what they want, and sometimes there is old wisdom in the "Old Cowboy" way of training if you go about it properly... I don't think horses like Bucky are super common, which is good. I sure wished it had been as simple as a tack problem
Would have saved me a lot of bruises!!