The best I could deduce from inspection and a multimeter test is:
The RED is North Start and hence the hot output (goes direct to Vol lug)
The thicker BLACK is South Start and shield together (goes to ground)
The GREEN and WHITE are taped together for series. Multimeter suggests:
GREEN is North Finish (measured 4.15k with the red)
WHITE is South Finish
The heat-shrink on green & white will just pull off, and with a bit of untwisting with small pliers they will likely be able to pull apart without any heat applied. I wired white to the vol lug where the red hot is also, and green to ground (vol pot casing). The result sounds like correct parallel to me, it's still hum cancelling but has less lows and extended high frequency response, lower output. I did some good reference recordings before mod / after mod / after mod with pickup height and poles adjustment. I'm yet to give it extensive comparison to other guitars thru an amp at decent level but it was definitely worth trying. Main issue I would say is that since the parallel mod reduces the DC resistance of the pickup to around 2k, it tends to dominate over the bridge pickup when both pickups are selected. I may try the bridge parallel also, so that they're equal (although it may end up too thin). Other possibilities are the Spin-o-split (adjustable partial split with mini trimpots in the cavity).