My bike has a 2 pin flasher unit. 3 wires are present, but the green is not connected.
Bear in mind, I am in Australia so my wiring may vary from what you have in the states.
Here in Louisiana I also have a 2 wire flash relay. ( are there actually three wire flasher modules in the USA?
do we use AC or DC on these
?)
Every CX I've seen uses the same two wire flasher module, and has an unused green grounding wire there.
There is an extra "unused" green wire ( grounding wire ) for accs. There is another unused ground wire in the headlight bucket for the same purpose. It can be confusing to have an unused dangling wire. If you are not going to use a "Cigarette lighter" or wire in any other add on electrics, Radio, heated saddle, TV, etc... you can lose them. I double tied all my grounds to the extra wire in the bucket as you cannot fubar anything by having it grounded in more than one place as long as you do not connect a "Hot" wire to ground.
Fer Example.... in a DC circuit I could have one twelve volt hot wire going to a lightbulb, and connect the other side to ground 50 times and it would make no difference.... Electricity will only use the path of least resistance to ground. If the best one fails, it will have 49 more grounds. ( obviously this is exaggerated, but I think illustrates the concept )
Also, Leaving out the "load" (lightbulb) would allow a direct path from the hot wire to ground allowing the battery to try and drain itself instantly (short circuit).... hopefully blowing the main fusable link instead of melting the wiring harness.