Imagine a Yankee Twist Drill, Clint. You hold the handle with one hand and push-pull a knurled knob which causes the shaft to spin in one direction or the other. At the outerend (toward the plane), there's an interlocking latch which holds the line (.014 for ½A - - .021 for a .35 stunt plane) to the drill.
In the plane, there's a worm-and-cam which translates the radial spin of the line into a fore-and-aft motion like a conventional bellcrank.
In the Speedmaster Control Units, the process is even simpler. A vertical arm is rotated fore-and-aft by the spin of the line Motion is limited by air pressure on the control surface(s).