Yes,
a trim tab has been popping up in my head, too. But I really wouldn't like to lose the beutifully-working pendulum system, especially in the following winds. But I might not have a choice :/
Was there a plan of the Fanshi self-steering available?
And to David T #2: Yes, Wharram lashings with 5mm dyneema. The tiller fitting is from a much bigger boat than mine, so I wouldn't be worried.
A bigger photo here (which still doesn't show the fitting realistically because of the perspective).