Thanks again, all. You're so generous with your knowledge and I truly appreciate it.
elwood, no worries. your information got me on the right track to finding the Persuader.
mica, unfortunately when I received this, the pots had already been loosened, so I don't now if they would've been touching the cavity when the bass stopped working. However, with any testing I've done since, I've made sure that everything was insulated.
I tried moving the leads so that each pickup is attached to one of the volume boards, as per fc spoiler's advice, and then the second (slightly larger) volume board is fed to the filter unit.
My thinking is that it's unlikely for both volume boards to be non-working, and that therefore the filter unit is the most likely culprit, so I'll concentrate on that for now. I notice that after the filter unit, the signal is fed back to the larger volume board before going to the output jack, so I'll need to try to trace the path there too.
Again, thank you for your help, everyone. Any other advice will be very gratefully received, no matter how unimportant you might think it is.