I recall seeing a polar plot of impedance + phase being used to describe the difficulties in driving a speaker. The distance from the center being proportional to the difficulty. I don't remember the exact method of calculating the polar coordinates though.
We have covered this before , but the issue is that when voltage and current are out of phase, always in moving coil loudspeakers, there is stored energy. So there is true power and apparent power. Now the apparent power requires true current delivery, and is true power X cos phase angle. The problem is that the phase relationships are not generally published.
I have to say I think on the whole receivers short change people. I have to say making any amp these days that goes into protection driving a four ohm load is inexcusable.
If you look in the digi-key catalog you find that high current output devices are now very cheap.
I think a lot of the problem is heat, and having amps in the same case as sophisticated microprocessors. Amps just don't belong there. People don't realize that most speakers are complex loads no matter what the nominal impedance is. Having current limited receivers, really is limiting to overall results.
I really feel it is time to retire the receiver to history, in fact I think it's over due. If there was no prior history of receivers and someone came up with idea, they would be laughed off the design team.
Now, no one bats an eyelid that an LFE out is a pre out with no pre in. Subs have the amp in the speaker where it belongs.
I fail to see why it causes people such terrible psychological angst to put all amps in the speaker, one for each pass band and do away with passive analog filters. That really would bring about a big increase in performance.
It is of no help that people continue to put cabling in their walls, including professional installers, not in conduit. If cables are in conduit they can be easily changed. I would propose that the speaker connection be optical digital SDIF, that way ground loop problems would be avoided.
It will be a great pity if powered speakers like those made by ATC remain the province of the high end.
Bottom line NEVER put a cable in your walls that is not in conduit, EVER!