If you can close the butterfly just by pushing it closed, then it will open and close. If the engine is cold (like in the morning) and you close it by hand, then start the engine and it still opens up, the pulloff spring is not working. The pulloff spring is inside that black hockey puck thingy closest to the rear of the car. Remove the three screws and there should be a coiled spring in there with a loop on the outside end and a flat tab on the center end.
This flat tab needs to stay in the slot inside the choke pull-off cap and on the longer lever at the top that runs the pulloff mechanism. The slot in the cap might be broken off, in which case, get a new cap and continue the following. If it is okay but the spring is not stuck in the slot, the choke won't pull off. Tighten the spring tab a little by squeezing it together at the bent over place and then push it all the way down into the slot in the cap. If the outside loop is open, the lever can slip out. Tighten the loop. Reinstall the cap/spring assembly, making sure the loop on the outside goes over the long lever that runs the choke butterfly mechanism. From the pix, I think the nylon nut is okay.
You can test the whole choke mechanism to see if it works by moving the longer lever under the cap back and forth before you reinstall the cap. If it is working correctly, you can turn the black cap and the butterfly will move. To start, you push the gas all the way to the floor first. This allows the choke to close and open just the right amount. Then wiggle the gas pedal as you crank. You probably already do this.
I did all this stuff with my own Pony 1100 and it works just fine now. If nothing looks like what I described, then you have a different model or pulloff mechanism.
You can only test it once or twice on a cold start. After this, it is no longer a cold start.