See, Jazz at the Pawnshop was only one of the recordings I used. I too also used some pretty old and crappy Frank Sinatra, Tony Bennett and Louis Armstrong albums that have been with me for about 20 years. They were the recordings that helped me come to the conclusion that the LCD-2s were better at poor recordings as the LCD-3s revealed quite a bit more. Skylab (another Head-fier who's ears I trust) came to the exact conclusion as well in his review (though with different sub par recordings).
The LCD-3s were better at extractting details with both world class and really bad recordings over the LCD-2 r2s. The argument that a headphone can do this better with a good recording over headphone "B" and then the opposite is true with poor recordings just doesn't make sense to me.
This is a simple fact to me after owning and listening to them exclusively since Day 1. You may prefer the more über realistic presentation of other headphones, but as I mentioned , when real life is your standard, the LCD-3s are among the very best at doing this to my (and many other's) ears.