The curve wouldn't be S shaped but just a curve below the straight line. I haven't plotted enough FD curves to witness this but I'm referring to the FD curves as seen in TBB volume 1 which shows exactly what we're talking about with regards to stored energy and bow length. What it shows is that a longbow shows an even increase in draw weight through out its draw length. The short bow shows a low increase in draw weight earlier in the draw and then increase in draw weight later in the draw.