I like to look at what you actually did. you converted an ac single phase stator into a two phase full wave stator. by reassigning ground from frame to the rectifier you doubled the current output of this lighting coil stator. perfect for a 4 wire scoot r/r. honda knockoff is cheaper than trailtech. the 5 wire is for 2 stator coil. you only have one lighting coil. any modern r/r is perfect for auto led's. with all this extra juice you can run without a battery with led's like I do.
led's are amazing. they do not get hot. I solder 22 gauge wire directly to the cob leds and stick them on with plumbers epoxy and hose clamps. I don't even bother with sockets. I use 12 strand 22 gauge security wire for my baja harnesses.
nothing floating here. mark do you know what capacitor to use to go batteryless?