***Why would a MM cart have any difference in stylus movement than a MC?***
I don't think you can attribute any differences there to generator type, seems more like a function of stylus profile, contact area, groove height and that sort of thing. It might be nonproductive looking at it that way.
There's another traditional line of thought as to energy transfer and motor type and it has to do with the nature of the beast. Because the coils are moving they transfer more energy and are more subject to returning energy. This kind of makes sense. The fixed coils in a MM are gigantic in comparison and you have a small magnet or two, wiggling.
One thing is for sure, MM's are much harder to load, but they're tunable.