Micah, God gave us analog ear drums, so that's the way sound comes out of the speakers, but the preceding connections and processing can be digital at least as well. As Ken and Doc Horse pointed out, things have to be calibrated equally for the result to sound the same. In particular the volume has to be exactly the same(within .1dB)so that things aren't different mostly because of loudness(as appears to be the case in your example). This is also the main factor in mysterious claims for amplifiers about things that they don't control(e.g., "sound-stage").

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Enjoy the music, not the equipment.