Sorry to jump in late on this, but I think we'd all agree with Sokolov's statement above ... but I don't think we'll get there. I think the HD800 and the LCD-2 are very fundamentally on different sides of a notional threshold:
The HD800 has a light diaphragm, which permits a weak motor, and a vestigial frame. It - and others like it - could be called "microphone style" headphones.
The LCD-2 has a heavy diaphragm, which demands a strong motor, and a solid frame. It - and others like it - could be called "speaker style" headphones.
Assuming the driver weight and the motor power are properly calculated, in either case the same power-to-weight ratio should be achieved, and I'm sure it is. But I hear categorical differences. In particular I think heavy drivers have a sound of their own. They have weight, power, impact and drama, which is all good. But - to my ears - they add a slight nasal "quack" as transient waveforms leave their surface. This is very reminiscent - to my ears - of good midrange or mid-bass speaker drivers, such as have existed for the last 20 or 30 years. Thus, headphones with heavy drivers sound more like "listening to speakers" ... and I bet most new planar fans are also regularly listening to decent speaker systems at least some of the time.
Light drivers create a sound that's basically unrelated to what we hear from speakers, and I bet most "microphone style" headphone fans listen to headphones only the vast majority of the time.
I doubt if the two approaches will meet in the middle in a way that satisfies both camps. At the moment, in particular, I think the LCD-2 (and to a slightly lesser extent the HE-6) needs to solve the downside problems of "speaker style" ... which are speaker faults, basically, including cabinet (frame) resonance and smearing, and woody colorations. To me - and admittedly I'm not a huge fan - they can include all the negatives of 30-year-old speakers, as well as all the positives.