this is excellent advice
My neighbors standardbred is the same way, doesn't like to be caught, pet, or anything.
so I walk towards her, she walks away, I stand still until she stops moving, then I start walking towards her -- rinse and repeat for 30 minutes
Now I just walk towards her, and she walks away (she no longer runs away because I am not going to run to catch her and she knows it) -- and I keep walking like I am trying to cut her off, I am down to about 5 minutes to catch her now
Now see, I would actually do exactly the opposite:
When the horse walks , I walk behind him.
When he stops, I stop. The idea is that if the horse choses to walk away from you, you stay with him, and you even make him feel a bit uncomfortable for turning his back on you. If he stops , looks back at you, he is about to change his mind from "I am going to show my hind to this person and walk away from them. They aren't something I am interested in" . . . . To . . . ."what's going on back there? It doesn't feel good to walk away from her. I better look back and see what this is all about".
It's when the horse stops and looks back that you reward that correct choice with yourself stopping. You can even turn your body off to the side abit, wait, and if they exhibit pricked ears and some curiousity, you might even try stepping back or off sideways to draw theit attention.
If they walk off, you follow them. If they stand still for a bit, you can try approaching but be ready for them to choose to leave you, again. If they do, you can just walk after them. I will sometimes make a little bit of motion with my hands, off to the side, to see if I can't draw their eye back toward me. If they reallyl blow me off and move away, I might scuffle the ground, or make a bit of a commotion so that they WILL jump out of being startled. Heck they turned their back on me, they shouldn't do that. However, I will nave make a commotion when they chooose to leave until they really have made that choice and moved a step or two off. If you do it too soon, the horse thinks you are telling him to leave. What you are telling him is that turning his hind toward you and walking off was the wrong choice and you make that uncomfortable.
But when he stops, and especially when he looks back, you take your "pressure" off of him. He made the right choice. He might even chooose to come and walk up to YOU!