It depends if the inductor is in parallel or in series with the woofer. If it's in series, then its function is to increase the inductive reactance (why though, it's easier done with a resistor) and if it's in parallel, its there to reduce the reactance - possibly to match with the impedance of the other drivers (because the woofer coil is an inductor).
If you remove the inductor and it changes the sound, that is not unexpected. Whether it's better or worse - who knows- but I would agree that extra components are there for a reason and should not be removed. Crossovers filter because of the inherent impedance mismatching the components provide so changing the relationship will affect the performance of the speaker in one way or another.
If you remove the inductor and it changes the sound, that is not unexpected. Whether it's better or worse - who knows- but I would agree that extra components are there for a reason and should not be removed. Crossovers filter because of the inherent impedance mismatching the components provide so changing the relationship will affect the performance of the speaker in one way or another.