I remember reading, when this topic has come up in the past, that 3x8 has maybe a slight advantage at the very top of the frequency range due to the smaller moving mass on each driver, while 2x12 is at the advantage at the very bottom of the range; 3x8 is flat to 20hz rolling off quickly after that, 2x12 can play with real authority into the teens.
3x12, for sake of completeness with what can be run on one single-channel amp, is for getting headroom and or getting the sensitivity closer to either highly efficient or (effectively more efficient) line arrays/planars that don't drop at the rate of a point-source.
Having heard the LS-X, I would suggest that 6x8 or 6x12 on a dual-channel amp would be the real way to fly when configuring the biggest planars/electrostats and line arrays to get the wave launch to match across the entire frequency range. In my humble opinion, this being significant not so much to get "more" out of the sub arrays, but to more directly compliment the effortless presentation of sound only these really physically large designs can do by virtue of their size.
Beyond this, I would suppose it becomes a matter of aesthetics among different designs (both the speakers themselves and the look as placed in the room), as well as getting as much awesome as you can for a particular front baffle width. Case in point, the sealed version of the 8" drivers sold direct through Rythmik are the last puzzle piece which made the best-of-show new Salk Exotica 3 speakers possible. Using the 12" drivers in that application would have been possible, sure, but the added complexity of the cabinet design would likely have both pushed the design into a completely different price point and made the final aesthetic something other than what - taken as the complete package that it is - really struck a home-run at the show with a lot of people.
From an OEM perspective, the form factors the 8" drivers open the doors to, along with the really limited frequency range anything placed on top of them is asked to produce, I think is what makes the 8" drivers the best kept secret in audio that has yet to hit the mainstream. The 12" drivers are awesome, but "big". The 8" drivers mean designers can sneak up on monitor/lifestyle footprint designs at <$10K retail price points, reaching customers in these market segments with something "new" they may never have had the opportunity to have in their homes due to limitations of traditional driver/cabinet design compromises.