I've heard some claim that the LittleMark lll and LM 800 sound different. I'm not sure why other than the different power supplies??
Difference probably have more to do with the pre-amp part.
If you took the pre-amp out of one and fed it into the amp of another, with matching the gain, I doubt you'd be able to tell a difference. Otherwise, Markbass botch one of the amp section designs and it has nothing to do with class.