I believe this is actually a sort of new-agey exercise class based on martial arts movement. My health club offers classes in this.
I have not had any interest in exploring this so I am commenting on only a superficial knowledge, based on the fliers I have seen at my club.
It seems the founder has a background in a couple of martial arts, as well as yoga. Maybe he's actually good. Maybe he's not. I don't know.
But he has developed an exercise class taught in health clubs, and that's what I believe it is. It seems he certifies instructors to teach his course, but I don't think you could consider them to be martial arts instructors. Instead, they are exercise instructors and personal trainers.
I have never seen the class advertised as anything more than exercise. I've never seen any reference to learning any kind of useful self-defense skills, or anything like that.