Honda CRE/CR lighting Coil Identification Help Needed

I was fortunate enough to know the recently passed away western importer for CREs from the 90s as his shop was just a few minutes from me. I was invited to a private estate sale and was lucky enough to procure some leftover CRE parts and a CR that the shop owner told me was converted to a CRE.  Among the parts were some lighting coil kits (only one actual light was found).  One of the lighting coil kits is different from the others (it's painted black and it's smaller) and I was hoping someone could tell me if it was meant for a 125 or a 500 since I know the silver one below is for a 250.  I highly doubt it's for the CRE-50 as I don't think a 50cc 2T was imported to the USA.

I'm not a Honda person and the CRE brochures I got have all their pictures taken from the clutch side.  Anyone able to ID the application for the black painted lighting coil?