That isn't how I was taught a one-rein stop. First, the ORS is supposed to be taught to the horse. It is a cue to ask the horse to stop, not one one forces him to do so. Second, you can TURN a horse in circle most of the time that way, and spiral in to slow down, but only if you have room.
Second, pulling a horse's head around doesn't force them to do anything. I've been on a galloping horse whose nose was at my knee, and it didn't slow him at all. Horses have to follow their shoulder, but they don't have to follow their head. If you ever DO find yourself in that spot, kick the outside shoulder...
Third, I don't agree with using steady pressure to slow a horse down. If it is steady pressure, they can brace against it and go faster. I found it more useful, particularly on a bolting horse, to bump, bump, bump [see the final video: "set the brick wall, set the brick wall, set the brick wall
"] until the horse got the message. Keep riding, talk softly to the horse, and bump, bump, bump. Worst case, there is a pulley rein stop. The one time I needed
it, I did it off of memory of this video - and it worked. Good thing because we were running out of room fast!
Worth tossing in your bag of tricks. Teach lateral flexing this way before trying a one rein stop:
And FWIW, my first horse was a bolter. The video below helped me a ton to set her up for success in stopping bolting:
PS: In a real emergency, when my horse is bucking or bolting or trying to spin away, I'm far more concerned with saving our lives than saving his mouth! I save his mouth by staying out of it 95% of the time, and teaching him what I expect when I do apply pressure.