That's a bit contradictory.
If the Stax 009 is neutral and it doesn't present you bass and/or low bass, then it is certainly not on the recording. I have verified this myself on the 009's. I found them to be extremely accurate and to quote you - "the closest thing to the definition of neutral that I can think of". The amount of texture and detail across the frequency range on the 009's is superb and unmatched by any other headphone I have heard. If the LCD-2 or LCD-3 is spewing out low bass and/or bass on a recording when it wasn't present on the 009's, then something is being misrepresented with one of the 'phones and so far, in my experience with the LCD-2 and the 009, it hasn't been the 009's. I'm not saying it's a bad thing that certain cans have a fun, colored sound...it's not and there is a place for both, but for my money, and based on experience, neutrality is something much more difficult to obtain.
That is one of my first tests as well. I use two different recordings for this and I found the LCD-2 to not sound lifelike at all. The SR-009 sounds spot on to me - even with direction which is hard to reproduce, IMHO, with the timpani. I don't want to see the world through rose colored glasses - I want full technicolor!