Just in case you skipped these ones, have a read:
http://www.aikenamps.com/ClassA.htm
http://www.aikenamps.com/SingleEnded.htm
http://www.aikenamps.com/VoxAC30classA_2.html
+1 to what Alan's said, the topology of the rest of the amplifier far overshadows that of the class of operation.
You're example is a bit of an abstract one, but I understand what you're getting at, however - two amps operating in different classes can't be the same. My advice to you is that the hype RE Class A/Class AB is something that you shouldn't worry about. I also think that no body will have definitive answers to your questions. Tone isn't really very well described by words, and gain and distortion are not the same. It is an established fact that Class A is inefficient when compared to Class AB, therefore you would get less power for the same amount of real estate, so the overall signal gain would be less. That is not to say that the signal will be more or less distorted. In Aiken's article it is mentioned that as one of the steps to turn an AC30 into a Class A amp, you would have to lower the plate voltage about 100V to get the plate dissipation within the limits when biasing towards Class A. This is just a guess, and I couldn't say for sure without doing the experiment, but I'd say that you would lose headroom as you'd have lower plate voltages. Then again, your output power is also decreased, so your headroom, or the upper border of your clean signal - where the amp begins to break up, as a percentage of the output power might remain in more or less the same place.
Can't help you further than that sir, apart from urging you (if your curiosity regarding this topic is the bane of your existence) to learn some theory on amp design, build a few, and do these experiments yourself.