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Basses with dummy coils …

Happy we got there. Otherwise, we might end up discussing if there's signal on a ground wire…
I don't think you understand just how much noise that hum canceler collects, and that it is amplified in the circuitry. You can't amplify nothing. It's specifically not like a ground wire in that regard. I guess you'd need to be familiar with how Alembic Series electronics work to understand, and it's completely understandable that you'd not be, seeing as their aren't a lot of those instruments out and about and I don't know of any other bass circuitry that does what Alembic's does in the way it does it. The signal from the hum canceler consists of RF noise, but it's still a signal that the active circuitry amplifies and manipulates.

John
 
Understanding how a hum cancelling scheme with 2 preamps that are mixed is far from rocket Science for an experienced audio EE, which I am. We were discussing semantics before - there is no lack of understanding of what's going on.