The purpose of Electronic crossovers for Bi-Amp application are basically two: 1) Passive components by nature "attenuate" the signal - because the active crossover uses transistors which are energized then signal loss should be at a minimum. 2) When bi=amping, the amp is between the crossover and the speaker vs. the passive crossover which goes between amp and speaker. The result is the the amp only has to operate in a certain bandwidth, therefore, the the amp does not have to operate from say 20Hz to 20KHz but rather 20Hz to 2.5KHz thus not driving the components of the amp quite as hard.
This idea really came about in the sound reinforcement world where they build amps specifically designed to operate within a certain bandwidth and carefully match the impedance of the amp and speaker as well.