The only thing I don't understand from Ian's video is why walk persistantly toward the horse's hindquarter? If you want the horse to start being accepting of the flag, then why walk toward the hind, wether the hrose moves or not? It looks a bit like Ian is drivng the horse continually.
You can also walk away from the horse and have it follow you and the scary thing. In fact, having the horse follow the scary thing , which he soon comes to view as "chasing " it can be a first step to him being a lot braver. So you can have him follow a bit, then you turn and you are coming toward him . But I don't understand the value in moving continueally AT his hindquarters. Waht do you want the hrose to do? Stand there ? I can see that if you are approaching as if you were going to adjust something on the saddle, but the movement in that video seems a bit like driving the hind and I am wondering the purpose there.
I do also work on letting them stop and stand and relax. Actually that's the last thing I do just before putting them away. I'll give them a rub-down and let them completely relax in my presence before letting them go back to their friends. Really helps when you want to be able to CATCH them the next day. XD In this instance though, the very next thing I did after this session was ride this guy so the whole thing essentially amounts to his warm-up.