[MizunoJoe]

"A draw is simple enough if the clubface is closed in the grip, and the machine is adjusted to the right."

You can't draw the ball with a closed clubface, which can only contact the outside of the ball. You are describing a pull hook with respect to the adjusted machine. The "prior" aspect of this procedure does not insure it's "precision". I can Horizontally Hinge more precisely than "guesstimate" how much to close both the clubface and stance.