And yet, standing in a playground in Barnes this afternoon I would say they were lining up with the runway over Clapham rather than almost Ilford, in one case actually over Barnes.
That's entirely possible, particularly for arrivals via BNN and OCK where the downwind leg is long enough to lose enough height before intercepting the ILS. Watch arrivals via BIG and LAM and you will typically see them joining further out after the usual S trajectory from those STARs.