Most music in the last several decades was recorded with DSD ADCs, then converted to PCM for mixing and mastering. Conversion from DSD(Delta-Sigma) to PCM and back is a mathematical process and if done with enough mathematical precision introduces no noise, losses, or distortion within the limits of useful audio, i.e. will be bit perfect to 24 bits.
DSD is a different story since DSS native conversion is different than PCM and basically it's again more straightforward than delta-sigma PCM conversion. So DA converters with direct DSD DA conversion path (no conversion to PCM prior to DA) can benefit in sound since DSD conversion doesn't require output filter at all, so no ringing as well. However typical cheap DAC converts DSD to PCM, then processes DA as with ony other PCM signal.