One of the biggest benefits of active biamping is being able to tailor the amp to the specific needs of the speaker section it is driving.
For example, in an active biamp situation, if the mid/hf section requires 50 watts and the low section requires 200 watts, then a 50 watt amp and a 200 watt amp are all you need. This works because each amp only has to be sized to match the voltage swing necessary for the filtered range of frequencies being amplified.
In contrast, in the typical passive biamp arrangement, if you are using a 200 watt amp for the lows, you also need (should have) a 200 watt amp for the mids/hf. This is because even though the mid/hf amp is actually using only a small percentage of power from that 200 watt amp, that mid/hi amp still has to be capable of reproducing the entire voltage swing of the full range/unfiltered signal. If it cannot because a smaller amp is used, the waveform to the mid/hi will clip before the amp driving the low will clip.