If it's any help, my MOD (Queen's Own Highlanders) kilt has the same twill direction:




I had never really paid attention to the direction before. Both of my civilian 8-yard wool kilts have the twill going the opposite direction (backslash). But my 4-yard wool box pleat is going the same direction as my MOD kilt.

I seem to recall that tartan cloth has a "right side" and a "wrong side". Does someone know why it would be reversed? Or does it not matter on the cloth from certain mills?