Twl, I don't consider the word "euphonic" to signify a bad thing qualitatively; only if such a quality is actually masking higher levels of distortion so as to sway a listener into preferring a version of reality which is farther from the truth does it raise my eyebrows. Otherwise, inevetible distortions should be both low in level and low in order, ideally speaking.
Yes, I've heard about the theory of canceling distortions in SET/single driver systems, but I don't buy it. There is just no way that I can see where, even if you stipulate identical-order and -level distortions (which I strongly doubt can ever be the case, but as you say the theory doesn't depend upon 'identical' to work to some degree), the temporal relationships and the inherent non-linear components will never match up - in whatever phase - to yield much cancellation.
In fact, I don't know why there should really be any cancellation at all: this reversing the leads business is flawed thinking to my mind. The speaker's distortions are *caused* (for the most part) by its response to the input signal. Reversing the phase of that signal will merely do the same for those distortions. (And not even considering for the time being an amp's ability to exert its control over the driver's movement, or whether the reverse occurs.)
Obviously, this isn't a unique indictment of single-driver speakers; any speaker, fed by any type of amp, will receive the amp's output signal - including its embedded distortions - and then further distort that whole signal, amp distortions included. The cancellation argument, were it true, should apply in some measure to any amp/speaker combination; the position that it will only work with low-order distortions makes no sense to me. Besides, SET amps have higher-order distortion products too. They just don't internally cancel the even orders, so the distortion profile tends to be characteristically different than push-pull amps. But it is not exclusively low-order - it is predominantly low-order.
Don't misunderstand me - the combination of class-A operation, simple and few parts and circuits, low or no feedback, and no crossover notch artifacts or device mis-matching or -tracking makes SET's appealing in theory even despite low power and higher total THD levels. Getting a speaker to give of its best under those restrictions can be a different matter, as I'm sure you'd agree.
But rationalizations like the cancellation argument just make me more skeptical than I might be otherwise. Simply the fact that apparently only the SET crowd feels the need to come up with something like this rhetoric points the finger of doubt, to me. The whole case is too facile and unsupported, as far as I can see.
Look at the contention that single-driver speakers will have lower-order distortion, for instance. How so? I have always thought that the wider the bandwidth any one driver is called upon to cover, the higher the THD over its bandwidth that will result. This makes sense, and so does the limited total bandwidth of a speaker which depends on just one driver (dynamic driver, that is). True, other distortions, such as phase distortions and crossover-induced distortions, can be lower. But if you restrict any single driver to operating only within its prime comfort zone, as in a multi-way speaker, THD (as well as non-linearities) must be lower at all orders.
I am not suggesting that higher-power, push-pull amps, of either class-A or -A/B operation, don't have their own characteristic sonic flaws, some of which are unique to their operation and shouldn't be overlooked in the quest for higher power, others of which are merely unmasked by the same (and not unmasked in SET's, presumably due to other, higher-level 'euphonic' distortions). But I don't know that anybody can claim that either type of amp, alone, sounds 'better' than the other, because the partnered speakers tend to be so different.
In that sense, SET owners will tend to have the advantage concerning comparisions, since they could reasonably experiment with higher-powered push-pull amps on their efficient speakers and draw some conclusions, whereas conventional low-impedance, low-efficiency speaker owners (like me) cannot really do the reverse comparision. But the results of such comparisions will not speak directly to the question of whether an SET/single-driver or horn combo will 'outperform' a higher-power/low-to-moderate-efficiency pairing. It almost certainly would depend in large part to the listener's priorities, so all we can definitively say is that all various amp/speaker pairings will sound different from one another.
I am also not saying that the very idea of single-driver speakers doesn't have powerful attractions. Consistent dispersion at all angles, uniform resonance properties, phase coherence, and lack of crossover-induced complications and limitations are all desirable. The trade-offs we already know. If I lived near you, I'd ask to come over and have a listen. I'd even bring my amps.
As things are, all I can do is use my mind the best I can to consider the arguments. I find the cancellation argument implausible, and more than a little ingenuous in its seemingly willful selectivity and dubious premises. I'm not on this thread to make anyone defend their system to me, just to give my own view that power can be used for good as well as evil, particularly in freeing up speaker design possibilities. I have no agenda or animus, just intellectual curiousity and a fondness for playing devil's advocate.