Noise introduced during data transfer would flip bits and create noise. However, this would also have to overcome the error correction built into the card, and also be continuous, and also somehow not cause the entire transfer to fail. This is why you never see measurements of this type of interference, because it would be really exotic and rare.
As far as I know, this (adding noise) is the only kind of change to sound quality that's even theoretically possible from problems with moving bits from one place or another.
An effect on tonality or dynamics like in OP's quote is impossible. You can't improve bass or whatever by randomly flipping bits any more than you can fix a car by throwing tools at the hood.
If this sounds doubtful to you, consider that images never get lighter, darker, greener or bluer, bigger or smaller due to digital errors. Why would audio be different?