Has it ever been demonstrated that this "integrated common centroid" issue is in fact an issue?
I think not.
I very much doubt that you can document any professional paper on this issue from the Audio Engineering Society or any other credible source.
I have heard nothing but audibly perfect results for the last 30 years of using balanced connections; I will just go with my experience until someone PROVES that there is some flaw.
I have yet to see it from you or anyone else.
P.S.-I taught electrical engineering for 30 years; if you can state it, I can assure you that I can understand it...if it indeed makes any sense.