Regardless of your plane theory, the longitundinal center of gravity (which is a line) must stay be aligned to that plane. The clubshaft is at an angle to this line so as the LCOG is the axis on which the turn and roll takes plane, the shaft will make a conical shape and will be aligned with the inclined plane only at 2 points around 360 degrees of rotation.
Now to the Hank Haney parallel plane theory. To those not acquanted with the golfing machine would think it contradictory to the TGM however they are mistaken. Homer Kelley clearly states in 7-7 - I don't have my book with me so I will have to paraphrase "other controlled procedures may be more difficult but not be deemed incorrect such as positioning the club to the plane angle intended for release". This is exactly the same as the parallel plane theory. However going into this in detail is another post however I concur with Homer Kelley on this that it is unnessesarily difficult.
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