We all have different beliefs and I respect that. My horses mean more to me than something that just obeys my every command. And like I said, there is a lot more to the method than the taking territory part. Its one of those things you have to see in person to understand. Its a method that takes a lot of patience and a calm mind. Its certainly not for everyone
I didn't say anything about it being natural. These are just methods that focus on positive reinforcement. Obedience is certainly an aspect of the training its just done differently. The horses she trains are used in shows, so they definitely need to be obedient while performing in the arena.
The point of these methods is to not have a pushy or disrespectful horse. The people you have seen must have not been utilizing it properly.
Let me just say, I feel you are contradicting yourself. Disrespect in of itself is as per Meriam-Webster to show or express disrespect or contempt for : insult, dis
So if they are not supposed to "obey your every command" then why give them in the first place because to me if they don't do as you ask, that's disrespect. If they don't give you your space, that's disrespect.
Tell me how pushing a horse off of its meal is positive reinforcement? To me that is negative reinforcement. You add pressure, they move off and pressure is released.
Also I really do not like that you almost imply that you are different in how you view horses as something to boss around. To some it may be the thing they ride, to some the thing that they get their adrenaline kick from...
But to me, my horse is everything. He's a living breathing animal that deserves respect and I have a partnership with in and out of the saddle. He isn't there to do my bidding but I know he's truly happier when he gets consistent exercise, lots of turnout, and he feels happier when he has someone to look up to instead of having to make decisions himself.