Unfamiliar with your Frankenbike part, I wonder:
Without a plunger pin, does the "choke" seal the fuel orifice adequately?
Is the "choke" configured to open the air passage as the OEM part does?
The stock "choke" (starting enricher) does two things when activated: 1) Opens fuel passage, and 2) Opens air passage. These two functions comprise a sort-of, "mini carburetor," introducing a fuel-rich mixture to the venturi. If your Frankenbike "choke" does all this, what? YOU worry? You've got it made. If the aftermarket part fails to perform either function adequately, you're either running an excessively fuel-rich mixture constantly, or failing to introduce a proper starting mixture.
I used the OEM starting enricher plunger with a Drag Specialties "shorty" cable, intended for Harley CV40 Keihin carbs. Works fine.
Also, BTW . . . installed 1-1/2" risers; adjusting handlebar brackets, re-routing of cables unnecessary.