I know this flies in the face of purist instincts, but in my experience it is impossible to mate the LS3/5a successfully with any sub without high passing the LS3/5a. The bass hump makes high pass essential for its elimination. One thing I never tried (and this was the Harbeth HP3, not the LS3/5a which has more of a hump) was taking the back off. Since it screws on, that should be do-able as an experiment and should eliminate the hump, even if further compromising the LF power handling.
But good luck getting a successful integration without high passing the little ones.
Having a single source for the sub bass further complicates things in the pursuit of bass quality.
That's an interesting idea, but unfortunately the back of my Falcon LS3/5a cannot be removed. The box opens from the front only. Then again, yesterday I installed the new crossovers offered by Falcon as an upgrade, resembling the Kingswood Warren model. The improvement was more than audible, especially in the bass region. Stronger bass, but very quick and natural at the same time. More body from the speakers, and ability to better pressurize the room, as if the volume of the box had increased. Very much worth the upgrade for those having older LS3/5a models (the new crossovers are standard in new production Falcon LS3/5a).
Having said that, the LS3/5a cannot possibly go down really low, i.e. below 50Hz. So I will continue my effort to integrate the OB sub. And I will see whether I can remove the bass hump with the help of the PEQ of the sub's Rythmik amp (A370PEQ), while running the LS3/5a full range.