I think it would be a similar process as that, but different, your cdi stator has two ignition windings on it that that stator does not have. The ignition windings are larger and will be different than all the others. Your ignition windings are working so you do not want to unwind them, you want to leave them alone.
The Gl stator has only one purpose,,charging the battery.
Your CX stator has two functions, it charges the battery,,, plus it provides the voltage to power the CDI.
I do not know if you use the same number of wraps(24), someone else will probably know.
Your stator has 14 charging windings(bobbins) and 2 ignition windings, the one in that link has 18 charging windings.
I do not know how that works out because each phase on that GL stator would use six posts(18 divided by 3). Yours only has 14 posts and you can't divide 14 evenly by 3.
edit;
I typed this earlier but cut it out because I thought maybe I was way off,,but since Sture asked while I was posting,,here was my theory.
Maybe it goes 5 - 5 - 4
with more wraps on the each of the 4 posts?
IF there is 24 wraps on each post, that would be 120 wraps per each phase(24 X 5),,so on the phase that used only 4 posts maybe you would use 30 wraps on each post(30 X 4) to get 120 total wraps.
I don't know because I don't know enough about electricity.