> amplifiers working in pie class, which worked in class A with a low input and moved to AB with higher inputs.
ALL audio Class AB amplifiers work in Class A for small signals. That's what Class AB means.
A transistor loudspeaker power amp may be biased 50mA idle and will run Class A up to 100mA peak, Class B for peaks of 100mA to 3 Amps. That's lean AB (my terminology).
A tube AB power amp will often be biased to stay Class A up to half power or more. Take about any of the classic hi-fi amps: biased around 50mA per tube, Class A to 100mA peak, going to B for peaks 100mA to 200mA. That's rich AB (my terminology).
Some oddballs like Fisher 7189, several Mcintoshes, and to some degree the bigger Fenders, run fairly lean for tubes (but rich by transistor AB amp standards). And there are some amps working so rich they barely cut-off a tube at peak power, and barely qualify as AB. In fact this is a matter of judgement, because tubes are so hard to push to zero current at high plate voltage that even the leanest AB tube amps don't really cut-off.
There are also wild/wacky combinations of small Class A pushed around by big Class B, as Keith mentions.
> Usually circuits that are referred to a "classic" or typical class A are also single-ended.
True, but there are a few crazy folks out there. Push-pull 2A3 10-watt cathode-bias, or the Williamson, are Class A (at least up to nearly full power). The push-pull output stages in bigger tube console modules invariably made rated power within the Class A zone. H-P 200AB oscillator output stage is resolutely Class A unless you severely overload it. And on the other side of the street, Nelson Pass and others build sand-state true Class A push-pull. While most transistor console modules lean to AB, we had that Flickenger that was for-sure Class A push-pull.
Note that ALL "Class AB" amps have Class A drivers somewhere. You can't make an audio amp that never goes into Class A. (Recently there have been some chips with Class A input stages that shift to Class AB/B under severe provocation, but not in normal linear duty.)
Generally you can make either type perform very well. It is dumb to pre-judge an amp by its "Class", even if you believe the blurb (there are many things sold as Class A that obviously are not). If either class has "a sound", it was not done right.
> For certain voltage-controlled amplifier topologies
OK, that's the exception. VCAs work hyper-close to the silicon and there the A/AB decision makes a difference. I remember when this was controversial.