There seems to be confusion over what is happening in a bi-wired speaker. Electrically the circuit is exactly the same as having the shorting bar in place - the full range amplifier signal (or two identical signals in bi-amping) are fed to the inputs of the passive crossovers in the speaker. From there, the low pass feeds the woofer and the high pass feeds the tweeter.

The only thing different about bi-wiring is that the point where the inputs of the high pass and low pass crossovers are tied together is changed from the back of the speaker (the shorting bar)to the output terminals of the power amplifier.

The shorting bar is not a "big inductor". The inductor which is in series with the woofer, and forms part of the low pass filter, is still there, whether bi-wiring, bi-amping, or having the shorting bar in place.