So let me get this straight.
You can design amps that only operate in class A. When pushed to their limit they simply distort.
There are amps that slide from class A to class AB (e.g. Pass XA25, Luxman).
There are amps that can be produced with different amounts of class A before transitioning to class AB (e.g. Coda).
There are amps that have a switch that allows you to choose between class A and class AB operation (example?).
Does that cover it?