Having read Arne's article some while ago, I hadn't given very much thought to it since. A couple of weeks ago whilst on a demo sail with a new member aboard China Girl, he raised the question. I have since given more attention to this aspect of my sail and can say that the performance is not only better on the "bad tack" but very much better.
My sail appears to be a pretty standard Sunbird rig from the late eighties/early nineties, with hinged battens. As such, it has no fixed batten parrels except on the 'boom', and relies on the upper and lower luff hauling parrels to keep the other battens close to the mast on starboard ('good') tack. They do not achieve this very successfully, and the sail bellies away from the mast significantly. This may well be a contributing factor.
Although there are scattered references to this around the fora, I though it might be useful to pool others' experience in one place.