I've never seen any MOSFET designs, everything is stuck in the 1970's with the circuits simply copied.
Shunt regulators in small engines are prevalent and terrible for wasting excess energy as heat, but more efficient with lower voltage drop. I guess extra stator windings are too much cost to generate the extra volt or two.
It's kinda funny, because SCRs are so stupendously cheap (not much more than diodes of the same rating?), and electrical efficiency is such a negligible factor in the overall design.
A switching regulator for example, would be a fine addition for electrical efficiency, and plenty reliable given today's parts and ratings. But what is efficiency, anyway? Ultimately it's fuel savings, but so what, the engine is a pitiful 10 or 20% or whatever, electrical amounts to a tiny percentage of that, and there are far, far lower fruit to pick -- like just upgrading from 2 to 4 stroke, fuel injection, various emissions controls (better fuel burn / less unburned waste), and I mean, just plain old tuning, or even driving habits for that matter.
So, from a system design standpoint, it really doesn't many any sense, and yeah sure, just keep cooking the winding, who cares.
Tim