I've owned amps that were rated class A up to a certain output and then transitions over to class AB. I can't say I've have heard much of a difference. Basically, class A amps have their output devices on all the time, where as class B devices are on only 1/2 the time. One device handles the positive waveform and another handles the negative. The crossover point is where distortions can occur. Whether it's audible or not depends on the resolution of your entire system. Not to nitpick, but when you mention class B I believe you are refrring to class A/B. Class B amps are very efficient but would not really make a good audio amp.
Jim
Jim