@lewm Great technical discussion with much details. Thank you.
I don't think @drvinyl01 meant to imply that the arm does not have a pivot point. What he said was, "There is no fixed pivot point." What I think he refers to here is that because the TG mounts to a tower that is not attached directly to the TT in any manner, the pivot point, i.e., the location itself, is not fixed. Thus the arm/tower can be placed at any location around TT with the correct distance set.
I run a similar setup with two Schroeder arms - one, the Ref SQ that you mentioned above, and an LT - each on their own tower. I position the Ref, distance and angle, to orient the arm at the two null points of the Schroeder protractor. I position the LT based on its required distance from Pivot point to Spindle. And then I rotate the LT's tower, around this distance point, for the stylus to lower just inside the outer edge of the LP right at the LT's notched "rest stop". I check the PtoS distance again and tweak the tower distance as required. Having the freedom to position the arms around the TT and the motor tower, is mighty handy. Because of this, I seriously considered the TG but I got good deals and excellent support with the two S arms.
John