When a coil is connected in parallel to a loudspeaker something else happens. At quick current / voltage changes the coil changes its magnetic field and lets the AC voltage pass through. The coil works like a filter, letting high frequency oscillation pass through to the loudspeaker connected in parallel.
far superior to all other coils regarding impedance response, vibration and microphonics effect: the foil coil by Mundorf
Additional important notes: If a crossover is optimised for a high-impedance coil, the use of a low-impedance coil often doesn't show any advantage. The crossover needs to be tuned again incorporating the high quality component. A re-tuning is also advisable when exchanging a coil with core for a coil without core; since distortion is reduced the result would be rather positive.
Example:
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