I have a biased washer on the Flash and it seems to work although I'm a bit lost as to how sucking less of the same mixture (air/petrol) would make a cylinder run weaker
I think I can answer this one!

This is due to the Bernoulli effect - ie the principle on which carbs work. The rush of air through the constricted carb choke lowers the pressure drawing up the fuel through the main jet. The effect gets stronger, the faster the air goes. At low speeds the effect is quite small and carbs need pilot jets to get enough fuel through as nothing will come through the main jet and up the tube into the air flow. You can see this in action by getting an old main jet, putting an 1/8th drill through it and running your bike. It will run exactly the same as with a normal jet at most throttle settings in normal running. Only when giving it a handful at higher revs will you notice the difference.
The single carb on a twin cylinder bike will therefore supply a different mixture depending on the air intake speed. If each side is sucking different amounts in, each will run at a slightly different mixture. By biasing the carb you are trying to slow the air down a bit on the 'quick' side and speed it up on the 'slow' side.
