@pwerahera thanks! Seems reasonable. Basically I think you are right. Yet these are not the only laws of physics. Bi- or omnidirectional speakers sound different and work differently from traditional front-firers. I would say that room treatment is important also if you sit four feet from the speakers. Even if the indirect sound is now less prominent, it is there, coloring the direct sound. And even with headphones, where the material of the cusps can change the sonics quite a lot (cf Audioquest Nightowl debate).
My two way (horn treble + conventional woofer) floorstanding speakers sound good and quite coherent even from quite close. This is most probably due to each speaker having two identical set of drivers, two in front, two in the back. This arrangement is designed to create the correct spectral energy plus the right time alignment of the direct and indirect sound. It helps smooth the bass and treble and integrate the two.
I do hear bass even from quite close to the speakers. You wrote: "Big floor standers will give you the bottom octave, but you need to sit away from the speakers." Not so clear in my case.