I’m having a hard time discerning any diffs from filters used in active x overs, and passive x overs… apart from this one thing.
An active line level crossover can use much steeper slopes than a passive kind. The line level signal is much less affected by the sonic characteristics of the capacitor used. The phase of the signal can also be adjusted optimally. There is no need for padding resistors to try to match the sensitivities of the drivers to the lowest common denominator (the least sensitive driver in the passive design). There are no awkward phase angles that may give an amplifier a tough load (high current demand due to complex low impedance).
There really is no contest. Active is just a far better way to skin the cat of distributing the audio signal between different transducers.