If the DACs are equal, and the files on the computer are lossless, the computer will be technically better. The computer feeds chunks into RAM, varifies that they are a bit-perfect match to what's on the hard drive, them plays them from RAM. No moving parts. No stability issues. No contest. No matter how good the cdp is. With that said, I don't know if you'll ever hear the difference, but theoretically the computer is superior if the DACs are the same.
The real advantage to computer-as-source, though, is having all your music at your fingertips in iTunes or some other software program. You'll find, be reminded of, and listen to music you haven't paid attention to in years. And you'll listen more because it is so much easier to get to.
Tim