I think if you wire it like a coil-split humbucker (in Wez's diagram), then when the switch is engaged it's shorting the green wire to ground. The red (hot) wire stays where it is, so you've moved the ground.
In the Duncan diagram, the ground wire stays fixed and, as Wez said, the switch is choosing between the red or green wire (then connecting that wire to hot). So in that case you've moved the hot.
Now, I'm not sure about this bit, but I think if the tap was exactly halfway through the coil you'd get the same result either way. However, if the tap is (say) two-thirds of the way through the coil, I think one wiring option will give you two-thirds output when tapped, but the other will only give you one-third.
This isn't helping, is it Tom? :lol: The only thing we're sure about is that black goes to ground. Don't know what to suggest except try it and see. One of them will work!