Yes, I think power would be an obvious one, and PFFB on 8ohm speakers too. I have certain 60s albums that are painful if there is high frequency response 'uplift'.Whatever you are hearing (if anything) is very unlikely to be the SINAD difference.
Possibilities are:
Load dependent frequency response on the A07 (No PFFB)
More available power (A07 overloaded and clipping)
Nothing at all (sighted listening impacted by perceptive bias). This is IMO the most likely.
The completely different volume control would be another factor - balanced relay vs unbalanced basic volume pot in the Aiyima.
Unless my perception of improvement regarding the balanced relay is perceptive bias?
But as with diminishing returns in terms of how much we spend, or diminishing returns as advances are made in measured technical excellence, there are diminishing returns on certain arguments. There comes a point when two pieces of equipment do, in fact, sound different to each other when level matched and so forth, and the perceptive bias opinion becomes a form of bias .
You can't stir a volume pot! Surely?! I think you probably can, (and it is all good fun).
I'll be self-arming myself with the perceptive bias argument for the op amps...