Very true but that all becomes semantics at some point and that was about 20 years ago. LolAnd just to throw in what might be considered useless info, most of the old guys I know call a magneto a magneto, a coil a coil and the newfangled thing you’re speaking of an ignition module. It is an item made up of different components all combined into a modular unit. And when mounted on an engine and coupled with the magnets of a flywheel those two components become a magneto. Same as an old push mower with points, condenser, flywheel with magnets and a coil. Those components combined also become a magneto.
Often when customers call me using terms I will say something along the line "coil, magneto, ignition module are all commonly used interchangeably"
It doesn't make it totally proper or accurate but when you're searching for parts especially on eBay and amazon, you will find them under all those headings and probably some more.
In this thread though, I didn't realize at first we were talking about an older k-series Kohler so I assumed we were talking about a magneto style ignition and not and automotive style tower like coil.