I have not heard the un-modded D2000. But I owned the D5000 and the LA2000. I also had the HD600. So based on that, here's my opinion.
Generally I really loved the sound of the D5000 and HD600.
I am interested in the HD650 because I'm hoping that it improves on the one thing I disliked about them... the rolled-off highs.
If you are used to electrostatic speakers, you'll be disappointed in the highs of the HD600. From 6khz down they are stellar! Gorgeous rich, lush tonality and extremely natural. But the lack of clarity and detail in the highs were the deal breaker.
The D5000 are phenominal. Again, like the HD600, they have a rich, lush, sonorous signature, are extremely comfortable and yes, beautiful. They have all the highs that are not present in the HD600, but I never found them sibilant (those who do may wish to look at their source material). I found them bright and clear and brilliant. So why are they gone? The bass. A flabby one-note of extreme thudding... to my ear. Bass, Bass, Bass. Music without much bass (string quartets, motets, piano...) OMG... phenominal ! But throw in some driving bass and the rest of the wonderful sound got muddied-up and overridden.
So I tried the LA2000. Based on the D2000-D5000 they are wonderful. The bass 'issue' is gone the glorious highs remain and the mids emerge from any recess. The boomy bass has been replaced by a slight lessening and major tightening. To me, that was worth the price of admission. I had to sell these, but I found them to be the best of the bunch. The only quibble I had with them is the mids. I found that the full modification of the cans emphasized the mids a bit to much... for my tastes... and they lost some of their lush richness.
Take or leave any of the above, but I thought I'd give you my take on the one's you're discussing.
This is why I'm interested in the HD650... after that the LCD-2.
Good luck.