Internet wisdom isn't always wise. I made a mistake and turned off my brain while creating my initial wiring diagram. Don't get me wrong, my diagram works perfectly, but my hopes for what it would provide were somewhat ill founded.
The "250k" for single coil and "500k" for humbucker internet wisdom is missing context. The best way to think of a passive guitar circuit is an alternating current source (the pickups), a voltage divider for volume (volume control) and frequency roll off (tone controls). The choice of resistance for the potentiometers only really matters for tone controls, as careful selection of capacitor and potentiometer define cutoff frequency and range. However, since my circuit has no tone controls, the resistance value for the volume is largely inconsequential.
It has been many years since engineering school, but that is no excuse... Just be careful about turning off your brain.