You have spent more time analyzing this than I have, but I am a bit surprised at this response. (I use the Adidas Power Perfect II shoes, for reference.)
The question it seems to me is what the exact role of the strap is. Is it simply to keep the foot pressed tightly against the insole (in which case, strap attachment side doesn't matter) or is it also to pull the leather of the shoe up against the concavity of the arch, adding additional support to that already provided by the insole (in which case, obviously, I think, the attachment side matters greatly)?
Intuitively, I would say the latter is the case -- seems to be the case with my Adi-powers. That said, of course I could be wrong.
On the other hand, I really fail to see what the advantage is of having the strap attachments "reversed". You mentioned somewhere that it makes it easier to close the strap -- I believe it was something to do with "around a protruding midsection". That doesn't really make sense to me -- ones midsection may make it hard to reach ones feet, but to reach a particular side of ones feet? Really? (Trying it just now, with a not trivial gut, I notice that I can shift my foot position laterally such that the shortest reach extends to the inside of the foot, or medially so that that point is on the outside.)
Are you really confident enough that the strap has no role in reinforcing arch support to ignore this factor?