Think about why tone controls and other corrections were in disrepute during the analog era. It was due to the introduction of noise, phase-errors and distortion because of the faults of the physical reactive elements required. Digital processors are dependent on the programming and their speed/capacity but both are evolving quickly. Consider also that the signals we are concerned with are the product of similar devices from their A/D conversions at the microphone and throughout production.
Bottom line, DSP is potentially transparent.
Bottom line, DSP is potentially transparent.