Unsound, just because an amplifier cannot double its power as impedance is cut in half is not the same thing as saying that the amp cannot do flat bandwidth on a given loudspeaker. There is more to it than that!
^ I got that and meant the same thing. "Typical speakers".
Just because an amplifier does not double power into half the impedance does not mean it cannot drive such a speaker perfectly well, without frequency response variation. Doubling power is not a requirement for that.
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