Natural horsemanship is basically about letting a horse understand, what's going on, going in sync with the horses' body language, psychology, all those things... A twitch does none of them, it's just brute, physical submission.
Wrong, a twitch can save you from getting killed when working with a horse.
And horse is NOT laying on the ground after brutally being forced to submit, or after suffering from having one used, whether it is ear, skin, lip hold with fingers, blanket clip, over upper gums, or traditional twitch.
And used properly, it can allow a horse to understand that what is being done is not going to harm them.
I've seen more than a few horses that had to be twitched in some way at first, usually for shoeing issues, that after 2, 3 4 times of being twitched, and with shoeing visits 5 weeks apart, understood that nothing was going to happen, and stood quietly after that.
But to call it brute force submission is wrong.