Passive bi-amping retains the crossovers in the speakers and the AVR's amps still run full-range. At the amp outputs, no difference bi-wired or not (except for the extra capacitance etc. of the additional cable run). So, the voltage output is the same at the end of both wires.
Now, the bass section crossover does not pass HF, so the wires to the bass section do not have signfiicant (ideally no) HF current in them. That is, there's no HF load on the bass side. On the treble side, the crossover rejects low frequencies, so ideally no low-frequency current flows in the HF wires, again because there is no LF load. Voltage is the same, but current (and thus power) is a function of the load, which is indeed different for the two wires. Same voltage, different current, because the load is different. Does that help?
Since the load is essentially the same at the amp I don't really understand how it could reduce IMD (certainy not audibly). The arguments I have read discuss speaker (charge) kick-back into the amp, a real effect I agree, are better isolated by bi-wiring. This can be true if the wires provide enough impedance to provide some degree of isolation, but this seems somewhat unlikely, and perhaps even undesirable since that also implies higher impedance at the speaker. Usually the opposite of what we want in a wire, but certainly it could make some speakers sound "better" even if they are less accurate.