Whereas it is never fully certain if we refer to similar quality or level of "having darkness" at the background, I ignore this point for the moment.
Eventually it is neither the headphones nor the source only, but of course a matter of combination. On a personal note, I should note that my setups have not (yet) been (re)made specifically for my Audezes, but the HD800s, which has considerably recessed mids to be boosted, and bright highs to be tamed. Therefore, my sources (for example, PS Audio DL III w/ Cullen Stage 4) make the midrange forward, whereas my Audezes are also generous about prioritizing the midrange.
That said, I think that some headphones are naturally more difficult in some respects to come to terms with. Regardless of the setups there are general tendencies of the phones. I remember having read in many reviews similar comments on the background color of Audezes, starting from LCD-2s (a quick google search to validate this). Personally I seek the cause of it in Audezes' thicker/more visceral sound, which is a virtue of Audezes to me. So, regardless of this or that setup, I think they have a thicker sound than most other headphones around. I am not fully certain on the way this may relate to the background color, but I am sceptical about what many of us call "creamy bass + midbass"