hahaha..
Outside aatw and taatw obviously help with the second rev which is the most frustrating part in the learning of beck.
Just think of it as hatw + aatw (nt) or hatw + taatw (nt).... Sounds obvious but it sheds a whole new light on the trick.
As for baatw, it helps a lot in improving beck stamina and speed which is useful in the long run.