[Jamey80]

I found a break!
This is the unspooler I made out of a coat hanger and a lint roller... It's a bit ugly but it works, the handle is a friction fit so plenty of slip if the wire gets stuck.
I'm getting 4.3kΩ resistance through the wire on the cardboard tube (that's 513m of wire, counting the turns (3950) and circumference of the tube (0.13m), or 12800ish turns of the coil) but unfortunately still open circuit on the remaining coil, so I guess I need to keep going.