Yes...this discussion was good.
Does anyone else have any comments on my OP question? It wasn't just about the ACV but if the rest of the ingredients made any sense in the order that they are listed.
They don't make sense in that order. I think it's probably not possible to get it to come out that way if you label correctly. How it looks to me is that all the liquids are listed first, then the oils.
The ACV would not work in place of a rinse, since it's immediately neutralized by the lye. Since it's not a distilled vinegar, it would add some miscellaneous ingredients but I would guess the only one that would affect the soap in a significant way is the sodium acetate created by the neutralization of the vinegar. It would be similar to adding sodium lactate.
As has been pointed out, the vinegar would get together with some of the lye and result in a higher superfat, unless they took that into account.