Hi.
.. It would also require full range signals being sent to the mains speakers which would cause null cancellations and peaks with the subs.
You would gain little to nothing from stereo subs, as you can't generally localize frequencies below 80Hz.
Sorry, what you said does not happen to my humble system in my basement den.
My sub is now connected direct to my linestage line O/P. Even without any active impedance buffer, which I am building very simple using only a few parts run on 9V battery, the bass notes virtually shake up my basement - clean & powerful. Imagine once I add on the active Z buffer !!!!
FYI, when I play the LP: the Hollywood-made-famous Richard Strauss "Also Sprach Zarathustra", its opening sub-sonic bars creep lowly towards me & the ending powerful pipe-organ pedal notes roll overwhelming over me. I got to find my jaw which I dropped bigtime when I first time played this LP music with the active sub only last month.
All roads lead to Rome provided one knows the way.
c-J