Ok so what you are after is the "coil split" which takes your 2 coils that make up a humbuckers and splits them at the union, grounding one, thus taking signal from only one coil.. effectively becoming a single coil. The document from lace there does not show this with a 2 position switch. The 2 position switch portion of that diagram just shows flipping the phase of the 2 coils.
This is how you split a humbuckers with a DPDT 2 position switch
https://goo.gl/images/NzUdJN
(The part that says basic coil cut wiring. They are showing how to cut either side of the humbuckers)
Which looking at your pics I believe he has done. He just soldered everything across both sides of the DPDT .. the other side is unused anyway. Shouldn't be a problem. Of course the wiring diagrams would be different color wires with lace.
Lemme think about it more