I'm sure that Shadorne is correct re: radiation pattern.
Mrtennis' preference likely has little to do with distortion which varies dramatically with SPL - as noted above - for both boxes and panels. Similarly, tonal balance varies as markedly for different model panels as it does between any given panel and any given box. (The original Quad 'stat has a strikingly different tonal balance from the large Sound Lab 'stats.)
It's likely that the radiation pattern delta is also distinctive because it excites room nodes differently. My forward firing designs tend to produce a few suckouts between 50hz and 150hz, each of which is deep and narrow. My Maggies produce a larger, more complex pattern which features shallower troughs. The omnis produce the flattest response, although the primary suckout is large - much like the forward firing designs. Some of this specific result is due to my particular room (and I address some of this with EQ'd subs), but there's little doubt in my mind that the speaker/room system behaves differently when the radiation pattern is altered.
I rotate boxes and panels in my system roughly on a monthly basis, though my subs stay put with both. Each design has its particular charms and Mrtennis evidently values those of panel designs (and cardioid radiation) most highly. I would recommend that Mrtennis audition an omni design like Ohm, MBL, or Duevel (if he hasn't already) to see how those strike his fancy. They present a third radiation pattern that brings a different set of cards to the table.
Marty
Marty