I found the ear pads of LCD-X are too soft and when I put the headphones over my head I noticed that my ears are almost touching the drivers. I have the impression that when my ears are too closed to the drives in over-the-ear headphones the soundstaging might be affected. I got this feeling after comparing the distance between LCD-X and my HD800 (which has exceptionally good soundstaging).
To prove my theory is correct I used some not too soft spongy materials and inserted them underneath both ear pad rings to increase the distance of my ears over the drivers (see the following two photos). Spongy material are used to prevent reflection inside the hollow cavity. I also used 4 pcs of spongy materials and leaving 4 gaps to ensure the sound are not trapped inside.
After this small modification I noticed that the overall soundstaging has improved and the music is clearer to my ears. I do not notice any decrease in the headphones' bass as well as changes in the HF. Surprisingly the minor "veil" present originally has disappeared.
The following photo shows the ear pads have their full height after inserting some spongy material underneath them. Don't worry the LCD-X are still very comfortable to wear and I feel the same as before.
I would also like to mention that I have modified the inside of the strong carrier box so that the LCD-X can be securely placed inside with the Toxic cable Silver Widow on (see the photo below).
In conclusion there is no harm to carry out these modifications since you can remove the spongy materials if you do not like them.