This. The classes aren't in any order of superiority. They are in mere order of conduction angle and "A" happened to be first in alphabet.For the most part it [amplifier class] doesn't matter much imo.
So, all in all A isn't particularly any better than AB. Crossover distortion in linear operating region is inaudible in any reasonably designed amp and in overdrive class-A push-pull will have it regardless. Single-ended circuits naturally will not but then again they are principally different from push-pull B or AB circuits and react differently to overdrive to begin with. (So, that will be greater differentor than any amplifying class).
I don't know where rumours of Vox AC30 being a class-A amp came from, could have been The Beatles, some other guy or even -marketing- department of Jennings. Either way, the design is verifiably class-AB. Beatles also used wealth of other amps than AC30, such as UL series amps with solid-state front end and Fender amps. Whether you hear a class-A amp in action is least of your worries when identifying how Beatles got their tone.
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