The difference being (as I understand it) is that the '2023 specials' box is built from parts made for the Whittaker box (and is 99.9% the same shape-wise), whereas the Brachacki Altered was visually very different (roof, steps, gaining the clover leaf things) and, as we learned from research on this forum, used new parts originally built for the Toymaker's fake boxes.
My own opinion (for whatever that's worth) would be that the 2023 box is, in construction and looks, congruent with Arwel Wyn Jones's design, but the Brachacki Altered is, despite its long-stranding moniker, largely a new (albeit frankensteined) build.