The governor is just a paddle that gets pushed on by the air from the
vanes on the magneto.

No, Tecumseh engines have a little flyweight centrifugal governor that is
internal to the engine. The motion of the weights operates a small shaft
that penetrates the crankcase wall and has a small lever attached to it.
This is right behind the air cleaner. The B&S engine on my generator has a
similar arrangement. I know the air vane governors exist but not on the
stuff I've worked with.