When the engine is cold and you set the choke, the butterfly closes. As soon as the engine starts, it needs more air so the choke butterfly is supposed to open (specs are in the manual somewhere) a little bit. The vacuum diaphragm, i.e., "choke pull-off", is supposed to take care of that. If the pull-off is dead, won't hold vacuum, it won't open the choke after start and will cause the engine to run really rich to the point of being near flooded. That can cause a cold engine miss that goes away once warmed up.