Not all exercises are meant to be literal, though some are. Sometimes we combine one thing with another to add utility. I can't think of a time when I'd ever punch from a low horse stance. I do practice static punches from a low horse stance, though, because I can use that practice time to also develop my legs.What is a "set"? Never heard that before.
Is is something like what I called one step or two steps sparring where you do combination of kicks and punches like you described here?
This, is USEFUL. I agree 100%. This is what I spend the most time.
This is all I've been talking about, doing this instead of forms. I am a simple person, I don't get into the "imply" use of the movement. I take it as face value, you squat low and punch, I take it as you want me to punch with low stance. At least if you want me to do take down with low stance, move you hands in like taking people down so at least I would stop and question. Don't give me the bull that squat down and punch has a double meaning of taking down.