Most powered subs don't have an active high pass for the main speakers although they do have an active low pass for the subs. That means that the main speakers still get the full range signal and the sub supplements the low frequencies.
If you do add an active high pass for the main speakers the benefit has more to do with intermodulation and other distortions. End result... you'll be able to play louder with less distortion. Without the high pass and just a sub, some of those distortions get masked.
If you do add an active high pass for the main speakers the benefit has more to do with intermodulation and other distortions. End result... you'll be able to play louder with less distortion. Without the high pass and just a sub, some of those distortions get masked.