Simon,
I hear you. When you find the actual cause, we are all going to feel like "gee, why the hell didn't I think of that!" Keep trying. It will be worth the effort and make the ultimate hard-earned riding all the sweeter.
I really don't know what affect the "Damp Start" might have, but wiping everything down to nice and clean, including the slipring (maybe, using some alcohol) and, while at it, taking another look at the condition of the pickup caps, is a reasonable next (or repeated) step. One of the frustration stories that has been told here ends with the owner finding a hairline crack in the pickup cap with the spark tracking through the crack out of view of casual observation. I'm not going back to re-read the whole thread. I think you tried swapping leads with same result, but can't recall.
I admit to grasping at straws here, maybe more than anyone, and I don't want to cause you unnecessary mess-around labor that doesn't lead to an answer. However, I wonder if it would be informative to reverse the timing of the mag so that the lobe now firing left becomes the lobe firing right. The one thing that I think this could show would be if there is a flaw in the slipring, but it may be another goose chase, so, proceed at your own risk of frustration.
I hope that having the advice and guesswork still pouring in is useful to you. Maybe something will trigger the spark (so to speak) in your head, that finds the trigger for the spark in your left cylinder.
Richard L.