There's no doubt an appeal of a truly active crossover with multiple, separate amps, one connected directly to each driver. But the cost alone is a deterrent. Then the ability to design a crossover curve to exactly meet the passive network built by the speaker's designer is pretty daunting. The network is not simply a point and a slope. Care is put into controlling resonance, and other non-linearities of each driver and the cabinet.
One, good, single amp channel per full speaker inclosure is really enough for the home environment, for people using already complete speakers.