It is unfortunate though that in order for one person to see that several other persons expressions of similar thoughts is not garbage, it needs to be pointed out by quoting that the one person has said the same thing.
Well, there were nuances of differences, so it is not really so black and white
There is a difference, in taking the horse's natural instincts into account, when you yourself are not sure of a situation, and letting that horse seize control, refusing to go where you tell him it is safe.
Using those willows , as an example. There are times a strong wind causes those willows beside a trail to really weave back and forth, and where you know no predator is lurking ( I can go into detail how one knows that, riding in the mountains , if anyone wished to know), but your horse wishes to whirl around ect. It is then i need that leadership and trust, to have my horse over ride his natural instincts, and ride forward
Same goes if my horse freaks out, seeing sheep for the first time, and he is not sure if they are a threat. I have to be able to have that trust and leadership, so he believes me, and does not try to bolt.
Horses don't really reason, but rather react on senses that are very acute, due to the very nature of being a flight and prey species. This causes them to react first, get to a safe distance, then assess the situation
In fact,, when a horse gets scared or tense, he learns very little. he is not in thinking mode, but rather flight mode.
Thus, there is a very fine line, when you allow a horse input, and that horse disregarding your leadership, taking control.
The horse reacting automatically to a cue, is reacting much as he would to anything he natural responds to, out of instincts. The good thing is, if that horse is well trained, does not come with past garbage, he also will respond to a cue that over rides/replaces the first accidental incorrect one, instead of taking control, in essence, bolting.
Reiners are chased into a fast circle on a loose rein, but they are running in control, and if the rider sits back, drops that hand, will come back down to a slow circle, or with further body language-stop.
On the other hand, when a horse stops thinking, tunes the rider out, he basically forgets anyone is on his back
I want a horse that rides where i ask him to, with the caveat that I know I am not asking him to do something that is not safe. I don't want him thinking the bridge up ahead is not safe, and acting on that assumption
That is a big difference from not knowing myself if a bog crossing is safe,and asking my horse to blindly cross it, have him sink in it, and thus destroy his trust in my judgement, from asking him to go through a mud hole, where he can't see bottom, but where I know there is a good base.