I'm not an audiophile, just an enthusiast so I'll use specific examples.
I'm a sucker for the Eagles with the wholly predictable Hotel California off the Hell Freezes Over album being the pinnacle of recorded music in my mind. On the Gjallarhorn, the guitar stands out much better for me. It sounds like I can better hear the individual strings instead of just chords. On Get Over It, the bass sounds more full, the entire recording feels like it has more substance. I guess that's probably better bass? I have an SB1000 hooked into the system but I have it properly tuned to that you can't actually hear the subwoofer specifically so any change in bass wouldn't be coming from the speaker amp. Maybe it just sounds like it blends better?
Another odd thing I noticed is the point at which I stop turning the dial because the music sounds good on my Asgard is a full 3 o'clocks to the left on the Gjallarhorn vs what it was on the A07 though that had an independent volume knob so maybe that has something to do with it. I kept the A07 at about noon.
There was definitely an electrical noise in his small, quiet room with the A07. I wouldn't say it was loud or distracting but it was present. With the Gjallarhorn, I can't tell if it's on or not short of the light on front.
I was really curious so I did a wholly unscientific test where the stack was set up on the side of my desk out of view and my wife would swap the cables or not between them and I'd come back in and try to figure out which amp was hooked up. Using Hell Freezes Over, I was able to correctly identify the Gjallarhorn 10 out of 12 times. Though, as I said, the A07 has a volume knob and no bypass I'm aware of so we did our best for volume matching but it couldn't possibly have been spot on.
I hope that made sense. I'm just a guy who wants good sound out of his speakers and headphones.
Oh, and lastly, the fact that the power supply is contained within the unit has been a hell of a lot nicer than I anticipated from a cable management standpoint.