Are Lampizator DACs uniquely analog sounding?

They are quite a bit more analogue sounding than most DACs, but that does not make them unique.  Audio Note DACs deliver a similar kind of sound.

dCS is very linear. Any tube gears colors the sound and adds some distortion. You can try something simple first, like add tube buffer or preamp before replacing DAC. See if you like change in the sound. Not BAT, they are very linear, but something like Audio Note.

@mglik If you feel strongly that your dCS DAC "frequently falls into the category of background music," then you are most assuredly using the wrong DAC.  As for myself, I retired my CD player and my TT four years ago and now stream my music exclusively.  I stream using an incredible Ayre Acoustics QX-5 Twenty streaming DAC, which fits my own personal musical taste amazingly.  You just have to keep on searching until you discover a DAC that's a musical "knockout punch" to your ears like I did.  With my Ayre Acoustics DAC in place, I don't miss my CD's or vinyl anymore.  I've never had so much fun enjoying my audio system as I do now.  Happy listening.