Whether you wind with the figure-8 or straight method, if you've locked down both ends and they're not rotating, then you bring 'em together and pull 'em apart (by winding/unwinding), any apparent (individual line) twists come out under tension. ...
All kidding aside, I agree!!! However, the straight method does introduce more twists into the lines when on the winders. When the new flier unwinds the lines, there are also more "apparent" twists. The experienced flyer pulls, tugs or flies the apparent twists out and all is right with the world. The new flier is dismayed by the apparent twists, attempts to unravel the "mess", loses valuable flying time and becomes frustrated with quads. They even talk about using the shameful method of dual winders. Thus, I honestly believe, the new flier should be instructed to use the figure-8 method until they become more familiar with quad lines.
Since the straight method introduces twist while the lines are on the winder, I wonder how that affects the life of the lines! Does it open up the braid enough to allow dirt into the interior of the braid and shorten the life? Don't know it it's a problem, but still wonder.
Thanks to Bri, I'll never view the iQuad Kokopelli icons without thinking about "line winding incantations."
Cheers,
Tom