No such distinction exists.
Push pull solid state amps fall generally into 3 categories with respect to biasing
- a high steady bias sufficient for a specified power into a specified load.
once the power is exceeded, or the load impedance is reduced, a gradual switch over to AB follows.
- a modest steady bias with a very small class A area, from milliwatts to several watts
- a dynamic bias arrangement which makes certain the output devices are always in a state of conduction. This avoids switching distortion but is most definitely not class A. The correct way to call such amps is non-switching.
Single ended amps are the only type which works in class A until clipping - whether due to power or impedance limitations.