I have always thought of Natural horsemanship to be communicating with a horse in thier launguage, you need to be the herd leader, and in charge, or they will be. I do not follow PP, CA, or any other method. I have watched some of the videos, I am guilty of watching RDF-tv now and then. A lot of it I laugh at. I use bits and pieces of anything that works for me, and some I have made up myself. Horses can not be cookie cutter trained, each horse has different methods that will work for it.
To start with I think many of todays problems stem from the fact that horses are now a luxury, and not a part of life like in the past.
You did not see a farmer say Oh, fluffy does not want to pull the plow today, his right brain is exploding, and he is depressed (or whatever else you mave have seen or read as an excuse to not ride, or work your horse) People have lost site that horses are animals, and they are prey animals.
I have spent more hours than I can count watching my herd interact. My lead mare, does not ask the other horses to do anything, and usually she does not have to tell them either. Herd members know thier place, they follow her without question. They know were to be, when to get out of the way. They respect her, and follow her leadership. She does not have to round them up to go to the water trough, or to the other end of the ranch.
This is what I try to be to my horses, the lead mare. I am fair, I can be your friend (as my mare is with many of her herd mates), but I AM the boss, and the final word. My broke horses are broke. I can leave them sit in the field for weeks, months, pull out, and ride without lunging, and have a good ride.
When I load them , they get in the trailer. My worst horse will get one foot in, take it out, then load all the way in. It never takes more than a min to load any of my horses. Most I throw the lead over thier back, and tell them to load, and they walk right in.
I'm not just lucky and have good horses, many of my horses have come with issues, but with leadership, and training most issues can be gotten through very quickly.