I re-used my OEM starting enricher plunger, when I converted to a Drag Specialties short cable; the plunger snapped right into the cable end, same as with the stock cable.
Your old plunger won't fit the replacement "choke?"
BTW, I replaced the plastic cap connecting the "choke" cable to the carb with a metal one from Stead Engineering. Can't tell, entirely, from your images, but--seemed like the threads on the cap are tapered more sharply on my setup.
Brief comment on "stripping" the threads on the plastic cable end cap: I never stripped those threads, but mating the tapered threads of the cap to the carb casting is a real challenge for me, in the confined operating space when the carb is mounted. I certainly stripped the skin from my fingers in the process! I've seen images of 12 mm open-end wrenches, bent about 90 degrees, used to turn these rascals.
Will your setup work, with the blunt plunger shown? Don't know; ideally, the plunger should seal off its fuel orifice fully when the "choke" is OFF; maybe the blunt end will do that.
Here's the aftermarket cable; stock plunger/spring/cap fit as on the stock cable: