Yes, the "pivot point" definition means "the location from the tip that your bridge hand contacts the shaft at the moment of impact, in which squirt cancels out the angle difference between the stroke velocity vector and cue ball velocity vector".Can pls clarify what is pivot point that you're speaking about? is it good to have longer pivot point with the 11.8 or is lesser pivot point better as in the case with 12.4? also do you mean the pivot where you put your cue in your bridge hand? that would be a pivot.
If you mean the place where the cue touches your bridge hand then do you mean with the 11.8 shaft you're bridge is much much longer than the 12.4, I mean if you have the bridge that long with the 11.8 in the case of 22", then I wonder how that looks on camera, must of be the longest bridge length ever?but then again my assumptions may be all wrong and I dont know what pivot point is.
Yes, you indeed can play with a 22" bridge, but I don't. I use the 22" pivot point as a "virtual pivot point" and use front-hand-English to compensate for a shorter bridge. If you use the 12.4 with a 14" bridge, you don't really need any front-hand-English.
Of course I don't think about of any of this when I am playing, but the knowledge is useful when analyzing the behavior of a cue, and how you consistently "fall" onto the shot.