Bryan,
my experience has been that it is critical to get the slingpoint far enough aft on the yard, or else the sail gets tail heavy and requires big forces on the throat and yard hauling parrels (THP and YHP) to peak up the yard. This is more critical on low-AR sails than on those with high AR. Now I have had a close look at both Footprint’s and Fantail’s rig. David seems to have got it very right, and his sail sets perfectly well. On Fantail the halyard is attached much further forward, probably partly because of the mast rake. If you extend the halyard line from the mast top and through the slingpoint at the yard, shown here, you will notice that on Fantail’s sail the line points (too) far forward in the sail, unlike on Footprints. This naturally puts higher demand on the THP and YHP. I suggest you try to move the slingpoint aft on the yard, as indicated by the dashed line.
As for how the Chinese did it, some of their sails (Hong Kong rigs) were indeed very unbalanced, and no doubt needed big forces to keep the yard peaked up. My guess is that they got away with it by having a very stout boltrope (as all Chinese sails had), so that none of these peaking-up forces were putting loads on the very fragile sailcloth they used. If there is stress in the sailcloth, just by peaking up the sail, then the boltrope is too weak or elastic, or the sail is flat. With a bit bagginess in the panels, even in the top panels, all loads should be taken by the boltrope.
Arne