First, I'm not talking about clipping here- at all. I am well aware of the significance of the woofer in the box!
Atmasphere, clipping power is precisely what this thread, and "doubling-down" is all about. What I'm confused about is why you seem to be discussing clipping-power specifications and output-impedance specifications as if they're interchangable . . . or at least a common debate. They're not.
What is important to note here is the word paradigm. If you are operating solely within a paradigm, anything outside that paradigm can be construed as blasphemy.
The Power Paradigm amplifier is a 'power source', i.e. it will make constant power into any load. That is the voltage and current will both vary. I don't know of an amp that does this but that is the ideal, just as there are no true 'constant voltage' amplifiers out there either- that is the ideal. Does this clarify things?
Blasphemy is for the dogmatic, and I think it's best not to look at audio this way :). A typical high-quality conventional solid-state amplifier is pretty damn close to a pure voltage source. There's no reason why one couldn't build one that was almost a perfect constant-current source as well (except that it would severely alter the frequency response of the attached loudspeaker). But if it's a perfect "power source" you want, then you simply need to build a passive network that inversely approximates the impedance of the speaker, and use it in series with an amplifier that has a low output impedance.
Before the Voltage paradigm was proposed (MacIntosh and EV were two proponents in the 50s and 60s) the Power paradigm was the only game in town. I have had to create the terms 'Voltage Paradigm' and 'Power Paradigm' simply because the industry is mum on this subject in general- its inconvenient.
I think the industry is mum because these Paradigms only really exist on the Atmasphere website. Exactly who proposed this 'Voltage Paradigm'? Can you cite it as a bibliographical source, like one should in a proper scholarly paper?
I know we've been down this road before . . . but if you actually measure the output impedance of most hi-fi amplifiers from the 1950s and 1960s (McIntosh, Marantz, Scott, Dyna, Fisher, Quad, Leek, Citation, Eico, etc. etc.), they have a reasonably low output impedance . . . low enough to keep the impedance-related response variation of even a modern loudspeaker within +/- a dB or so. Did these manufacturers jump the gun on the Voltage Paradigm, not realizing it shouldn't be in effect until . . er . . Thiele and Small had ratified it? Of course not.
Atmasphere, I understand and respect that you design your products (and analyze their measured performance) in a way that meets your specific technical goals and personal preferences. But as for these "white papers" that you present on your website and promote on these forums . . . they simply don't pass muster in terms of technical or historical accuracy, or good scholarly form . . . the Grand Conspiracy overtones being particularly tiresome.