I think we would need a little more info here like:
What format are your music files on the 1TB hard drive (WAV, AIFF, MP3, etc)?
What format does spotify stream (I think it's mp3, but I don't know)?
What do you mean your amp seems more powerful with spotify, are you getting more volume?
I'm not sure what you mean when you say the volume increases immediately with Audirvana, could you clarify?
What comes to mind off the top of my head is if you have higher resolution files on your hard drive, the lower quality files coming over spotify could actually have softer "edges" than a full res file. I know in my system I have some room issues I'm trying to solve where I get some nasty peakiness at certain frequencies and the better my front end gets, the more intense or "worse" the peakiness gets as well. Maybe something like that...
BTW, it's generally recommended for highest quality, you ought to max out the volume on Audirvana and use the preamp to control volume