[Yoda]

What is the relationship between those Zeroes?

12-5-1 calls for Zero Pivot and Zero Shoulder Turn in Basic Motion. Is Zero Hip Turn not mentioned because Hip Turn should not be (or does not have to be) zero in Basic Motion - or is there no need to mention Zero Hip Turn because it comes with Zero Pivot and Zero Shoulder Turn anyway?

The Shoulder and Hip Turns are both Pivot Components. However, the Shoulder Turn is also a Power Package Component (the Triangle Assembly / 6-A-1). Every Stroke includes a Power Package Assembly, but not all Strokes include a Pivot. Therefore, being part of both the Power Package and the Pivot, it is possible to have Shoulder Motion without violating the conditions of Zero Pivot.

When the Shoulder Turn is also zeroed in the Basic Motion -- a very small motion! -- then only the Arms are available to Power the Stroke (assuming, of course, no independent Wrist Motion). Swinging, this means the Pull Minor Basic Stroke (10-3-D). Hitting, it means the Punch (10-3-A) or Push (10-3-C) Major Basic Strokes, perhaps in conjunction with the Bat Minor Basic Stroke (10-3-K).