Unless I missed a quick hand maneuver, the storage technique you demonstrate, while result in a neatly coiled cable, doesn't involve a counter clockwise twist for every clockwise one, thus creating tension in the cable. For thin cables (and guylines), the figure 8 coil is a better technique. It is just as fast to perform and each twist in the cable is canceled out by a twist in the other direction thus creating less tension in the sheath, and potentially extend the cable lifetime by introducing less inner breakage points.

Here is an example for how I store guylines attached to my tarp: https://www.youtube.com/watch?v=0PicTsgj5lA