All good points gentlemen, thanks.
I am interested not only in general, but in terms of guitar pickups.
Guitar pickups work in a slightly odd manner; in order for an electric field to be produced and picked up by the winding, the magnetic field around the pickup is "disturbed" (caused to fluctuate) by the vibrating metallic strings above it. The magnetic field is produced either by magnetized poles, one for each string, or by using low remanence poles biased with a magnet placed beneath them, or perhaps both in some cases.
I agree with EM in that a highly saturated, high remanence magnet (such as a neo or samariam cobalt for eg.), will perform poorly as an inductor core (if the goal is to increase inductance), in particular with such puny signals found in a guitar pickup.
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