No, it didn't really have a considerable power reserve, just a considerable amount of volume pot travel left.

If you tried to make use of this, the amp would distort heavily, so you cannot call that a reserve.
What you experience is just a much higher input sensitivity (lower input voltage for maximum power input) due to higher gain. If you can reach your desired target SPL with just a small turn of the knob, you simply have less granular volume control, not higher power. It's not the amp "coming to life" earlier, it's your perception playing tricks on you.
The speaker doesn't care about amplifier gain or the characteristic curve of the potentiometer. It will always need the same power for the same SPL at the same frequency.
One very plausible (and likely) reason would be a lower damping factor (higher output impedance) of the AU-D7. This would result in a little less bass control and potentially somewhat different tonality (although the impedance of the Linton is pretty flat except for the min and max values up to ~300 Hz).