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Steven F said..
Is strange on a bike even though you don't realise you are doing it you are. Once you learn about it you do it on purpose and turn better. I think this works on foil as well. You yaw (twist) the board left board banks right and you turn right.
You are right about the counter-stirring and this this is the same thing as on the bike... everyone is already doing it even if they do not notice. This has 3 implications on the material if you want a lively foil:
1 - You do not want any vertical rudder at the back of your foil, e.g. old naish foils and to some extent current axis foils
2 - You want the fuselage as short as possible and the stab as small as possible
3 - You want the mast as close as possible to the front wing; ideally right on top of it :)
All these aspect affect your capacity to yaw (twist) and if you cannot twist you are stuck on a straight line.