I liked your response. I'd forgotten about figure 8 nosebands, or dropped nosebands.....
One needs to know their horse, and also their own abilities. If one does not have soft or giving hands, then they may find themselves creating a horse with a very tough mouth that will eventually "run through" whatever is used.
When I got my horse they were using a rubber snaffle used for training foals, and that for a time they'd used a hackamore on him. The young girl only trail rode him, and I believe allowed him to do as he wished. I needed to retrain him to stand when I mounted him.
He is a great horse, with good training. Somewhere in his life however, he learned to bolt and buck. He came to me with an old scar across his back legs, running diagonally on the inside of his hock area. He has a lose stifle, so I do my best to keep him collected, and as he ages I know he has arthritis started.
Normally my voice is all that is need to bring him to a walk, except when he feels good and the footing is soft, or he's in a large group. Then I need just a little bit more. My theory as others have suggested martingales, etc, is that "less is more". The slow twist (least severe one they make) seems to do the trick. The few times he has a momentary lapse of memory and forgets I'm their, my voice and a bit stronger hand seems to remind him, without hurting him.
Thank you for the response, and I will keep the figure 8 noseband in mind.