So long ago, when I took lessons, the instructors did lecture on how to respond to spooks, bolting, rearing, and bucking, while we were working on something, usually posting, on the wall. They not only instructed on how to respond, but how horses usually go through these and what horses would usually do once the rider was off. I think it was helpful.
As a youngster, I even remember riding at one h/j barn where some of the teens did spook each others horses on purpose to show us the reaction, running sideways, stopping, heads up, blowing like fire breathing dragons, and then easing them out of it. Those instructions and demonstrations stuck with me.
My own kids and their friends got instruction by me and the other cowboys as they grew up. Green riders who ride with us do, too.
I also remember a riding with a friend and his son. Son thought he knew it all and was kind of sullen have to help move a small bunch of calm cows on one of the gentle ranch geldings. His riding showed it. The dad, at one point took his hat off and tossed it at the son's horse causing it to spook almost leaving junior on the ground. Dad growled "What's the matter Mr. Colt Rider? You going to ride that horse or be a passenger?" Meaning "be prepared and give every horse a good ride every time."