Ok, I decided since I was going to send one off to get rewound, I might as well take it apart and test some areas just to see. As I had it apart moving thing’s around I noticed I suddenly got good resistance readings. It would come and go but I was unable to pinpoint the exact cause. It appears that the ground lead coming from the epoxy has seen some excessive heat. That corner of the pickup had a ton of original solder holding the cover on so it could have been over heated when it was originally put together. I put it all back together with the wires not twisted around each other as much to relieve some tension. resoldered the connections at the circuit board just in case, resoldered the cover back on (without soldering the corner near the wires), and it now reads just over 7k. I moved it around, pulled and moved the wires and I still get a good reading. Hopefully this one is fixed and it is still original other than the cover and wire connections at the circuit board being resoldered!
I will disassemble the other pickup just to see. If it can be fixed without a rewind, great, if not I will send off to Tom.