I don't know about a Fiio over usb, but I'll tell you about the 5 days I spent without power after hurricane Irene. I used my Fuze and a Portaphile connected by a coiled 1m microphone cable that made a great FM radio antenna. I used my 650s, 880s and mostly my T1s which I think qualifies as a 1K headphone.
I also had occasion to use the Fuze alone after the 9v ran dry on the Portaphile, and never found an occasion to raise the volume up higher than 3/4 with the 600ohm T1s.
In every instance the T-1s had an order of magnitude more resolution and sound stage, and a more articulated bass than the other headphones.... just like it did with my GS-1 amp.
The 650s also sounded great, as did the 880s, but even straight out of the Fuze the T-1 was obviously the better headphone. When the Fuze was amped, the margin widened even further.
Does my computer rig with its North Star dac and GS-1 amp sound better than the Fuze or the Fuze with a portable amp? Of course it does and it can play much louder than I want to listen. But, during the blackout, the Fuze alone did quite well all by itself and had no trouble driving any of the headphones I mentioned.
Just to make sure my recollection was accurate, I fired up the Fuze and am listening with the T1s as I type this. Did a quick comparo with the 880s (only because they happen to be right near by) and I was back to the T1s in a second. There is that much difference... even from a Fuze.
So headphones first guys.