BSMS, I was on a bolting horse, once, long time ago, having borrowed a horse that I was unaware of being a bolter
A true bolting horse, runs blindly and mindlessly. Great, if you have a wide open trail, and you can use the army pulley rein, to eventually stop that horse, hoping he does not trip before you achieve that goal!
In my case, there was a highway up ahead, and the horse sure was not going to check if traffic was coming!
I thus opted to try and make a driveway , at full gallop, slamming into a tree-which was preferable to a truck!
Since that time, I have been very diligent in getting the body control on a horse to "SHUT DOWN' any attempted bolt, way before that horse is running flat out, hoping for the best!
Yes, yes, BSMS, horses can perform collected type movements on their own, do flying lead changes on their own, do lead departures on their own, and even sliding stops. Our one stud did the latter all the time, racing in his pen, along one side of our driveway, from one end to the other, running straight at the fence, then sitting down and stopping at the last minute, sliding in that dirt or mud.
THat all has nothing to do with any of these maneuvers or collection while ridden.
While ridden, we ask the horse to perform them, with whatever refinement is needed, on cue only, and NOT to perform them unasked
When riding, I don't want to feel my horse coiled up, ready for action, taking control!
Perhaps you enjoy that unasked for spin and attempted bolt, or, a horse like I had, that was an excellent lead changer, and if he got on the 'muscle on a trail ride, and was held back, would become very collected, almost loping in place, doing every other stride flying lead changes,unasked, ready to explode.
Looked and felt impressive when i was 30, but would not feel good now!
Rode down one mountain, when he was still a stud, with him getting 'collected', focused on a mare, versus as to where he was placing his feet. Yup, I rode him down, but if I had to ride a horse like that now, there, I would get off and walk!