I really don't know why the flat is on the right on the Lanchester BAR. I would just assume that it is because that's how it was on the MP28-II. Why was it on the 28-II? I can only assume that because the 28-II extractor extended to the full diameter of the tube (can anyone put a photo of one up?) and protruded out of the front of the breech block the flat would allow any rubbish to clear. Otherwise it'd prevent the BB from going forward fully
A good modification to a standard Lanchester is to insert a grub screw into the side of the BB top hold the floating firing pin assembly fully forwards. This eliminates the original inertia firing pin. Not as good as a Sterling breech block though. The even better news is that you can still use the Sterling BB in a Sterling!