If it should turn out to be a defect in the coil, though, I should add:
I don't know if those are wound the same as the coils in the NS-1000s, but if they are, a good repair will be extremely difficult. I had a discussion about this with a locally-renowned speaker repair guy, and he said that the NS-1000 and -2000 series were flat-wound with a wire that has a rectangular cross-section, not round wire like the usual VCs. The flat wires but neatly up against each other, creating a "solid" coil, and once the wires are damaged or uncoiled, getting them to go back nice and flat and smooth the way they were originally is almost impossible, and that size/type of wire is basically unobtanium.
You can use a few "fudges" sometimes, and you can re-wind them with round wire, but the results will fall short of the original.
I hope this isn't the case with your 670s, but I pass it on for whatever it's worth. I hope, for your sake, that you can get these working perfectly!