I'm not sure if it's just my pair (an original upgraded to the current version, 200 ohm), but my LCD4 has no veil at all, and it is quite lively and clear and balanced from top to bottom, still with fine deep bass.
In fact, I'm looking in the future to a warmish copper cable that will produce calm upper mids and highs and preserve the great bass foundation. I would never call them recessed. My Grado PS1000e is more recessed.
This is with a Hugo TT and also with an EMM xds1 cdp. Amps used are Headamp GSX2 (w/continuous volume control) and Rudistor RP010B[my favorite with the Hugo TT].
By the way, I find the LCD 4 to be a "bigger" sound than the LCD3(F or C that I used to have), meaning bigger, fuller images, bigger space impressions, more nice ambience.
I sold the Abyss to get the LCD4. (The Abyss was a little too sharp for me, not bright, just a little more discrete and sharper in image boundaries; the Audeze is more silky, which I prefer, and the Audeze blends things more which is also something I enjoy.)
I'm also a big fan of the Senn HD650 with a (wonderful) Toxic silver widow cable, if that gives you a feel for my sonic preferences, just to give you a perspective here.
That silver widow is a match made in heaven for the 650 by the way.