"Class AB" has nothing to do with the input.
The Class describes the quiescent DC current in the output stage.
Class A: full quiescent current equal to the maximum output current. Very inefficient, but will heat your apartment nicely.
Class B: minimum quiescent current, normally a few tens of mA to keep the power transistors operating linearly. Efficient, but prone to distortion.
Class AB: somewhere in between, there's no precise definition.