Hi OP,
With most multi-way speaker designs and their crossovers each driver and it’s filters are wired in parallel to the input. So in the simplest case case, with a tweeter and woofer, the tweeter would be in series with a capacitor and the woofer with a coil.
When you remove the straps on the speaker terminals the filter components (cap and coil) remain in place.
Using two stereo amplifiers this is actually technically not bi-wiring but "passive bi-amping."
Each amp section must reproduce 100% of the voltage that was needed before, but only the current for their component, and that does have the effect of making the smaller amp perform more stiffly and with less sag on the amp rails.
With the Luxman integrateds you can also do something cool. You can put a capacitor between the pre and amplifier sections letting you reduce the bass the integrated amp must produce, and increasing the available dynamic range. You use the "Separate" feature to accomplish this, along with a Y splitter on the pre-outs. One for the integrated, another for your external amp.