If it's stuck, just deform the flapper and remove it, leaving the shaft and external remains intact. If it will still move, then remove the shaft, remove the flapper, and reinsert the shaft and weight with nobody being the wiser.
There is ONE way they are needed. IF exhaust is not directed to the heat crossover of the intake manifold, the automatic choke coil will only heat up as heat migrates from the cylinder heads into the intake manifold. Which can delay choke opening a bit. With an elec choke carb, no need for that heat to happen quickly, relating to the choke openning quickly.
BUT with no heat directed specifically to the heat crossover, even with an electric choke carb, a bit of extra care to keep things running in cold weather might be needed. Even with an aluminum intake manifold. Which might mean you might need to pay attention and tweak the automatic choke setting a bit for best results. Using the FSM settings as a starting point. Which CAN depend upon your area's temperatures into the colder months of the year. Which might also mean paying attention to the ignition system's capabilities, too!
Your judgment call,
CBODY67