Sorry, you are wrong here.
Check out these overlays I made of both the pivot and the sweep, composed from stills taken at the precise point in time Stan locked onto his initial alignment (basically froze in place). "Pivot Stan" is the darker layer, "Sweep Stan" is the fainter layer ("Ghost Stan"? Lol). He is standing in the exact same place in both methods. There is no ghost hip, no ghost chin, no ghost eyes. Not only is he locked in the same horizontally, he is locked in the same vertically as well. This is remarkable to me, and certainly points to an extremely high level of consistency using either method, if it shows nothing else.
I challenge anybody to put up a video of them just stepping into their alignment along the same shot line twice in a row and see if you get the same results after I make overlays in Photoshop. One caveat, though. You must use a steady tripod like Stan is using or I won't be able to get them 100% aligned using this method.