In terms of the PSU itself, I don’t think that will impact sound quality. Because it’s a computer, not an audio component.
All good DACs will pre-filter the USB input from any noise over USB, so that’s not a concern.
I disagree with this based on personal experience. The power supply will definitely affect a digital source. My own experience is with a Pink Faun S/PDIF PCI card mounted in a computer. Using the computer's power supply, the sound was nice, but I can definitely hear harshness and noise/distortion in the sound. When I connected an external Farad Super3 linear power supply to the Pink Faun card, the sound really cleaned up and became more solid and more powerful.
Even in this case, the quality of the computer switching power supply will affect the digital signals being passed to the Pink Faun S/PDIF card (even though the Pink Faun itself is powered by an external linear power supply).