I suspect it wouldn't be so easy. One could use test tones.But I would bet w/o DSP and in the listening sweetspot speakers will perform similarly after differences in dispersion are accounted for. Intuitively it would seem how coherently the wave pattern is launched. I believe this is reflected the improvement DSP can add. And what's critical is getting a good impulse response first, then tackle room effects. At least IME this seems to tighten focus and anchor the soundstage. May all be my imagination however.
Yes it would be.
What you state is completely irrelevant since these effects are room and transducer related.
If the room and the transducer stay the same and only the amplification is switched, nothing you mention would matter. Naturally such tests would be done w/o DSP, since you want to establish the baseline for the electronics.
Seriously, dude.
Stop acting as if audio-electronics are some kind of voodoo magic humans can't understand. Electronics in audio have been a solved problem for at least a decade, if not longer. These days, even low cost gear can be audibly transparent. Even AVRs with measurements that make ASR members riot and post headless panthers are basically transparent in 99.99% of real life listening scenarios.
The real improvement can be had in the transducer and room treatment realm. Forget DACs, AMPs and Source devices. They do not deserve that much attention anymore, past the point of being able to drive the speaker load in a linear fashion.
My Wharfedale speakers much more punchier when connected to Onkyo amp than to Yamaha AVR.
Sounds like an output impedance issue. Possible that the older AVR had a higher one, that can lead to less control over the drivers and resonances coming through, thus exaggerating and "muddying" the bass response. I heard this effect when my buddy compared his Pioneer AVR to a Cambridge audio stereo amp. It was quite subtle though.