So I measured the Tonerider Bridge pickup as well and was getting a bit too much discrepancy between my two measurements so decided to set up a circuit (https://ezcontents.org/measuring-cap...e-oscilloscope) to double check the actual capacitance of the two capacitors I have. My 680pF actually calculated to be 687pF and my 10nF calculated to be 10.5nF using the oscilloscope. After factoring in the slightly different capacitor values the Tonerider Bridge measures:
6.66k
2.85H
I also edited my previous post for the neck pickup to reflect the tweaked values. The way I've done it is to take a measurement with each of the two capacitors and then average the two. The difference between the measurements from the two capacitors for the bridge pickup resulted in a 0.08H difference (2.89H and 2.81H) and the neck was 0.14H difference (2.2H and 2.34H).
Interestingly this is a good example of why resistance alone can be misleading. Both pickups measure pretty much the same resistance but you can see a notable difference in the inductance.