FWIW, I'd say that it's a coincidence between your choke pull and the tapping sound since your choke cable just connects to an actuating arm on the carbs to close the butterflies...and it shouldn't be related to any tapping noises that synch with the engine speed.
I suppose if something came loose in the carb throat due to a bent arm or damaged butterfly, then it could produce some noise and cause some issues with the choke pull as you've noticed...but it seems very unlikely that the noise would synch up with the engine speed so well.
My suggestion would be to remove your airbox, pull the choke, and watch to make sure all of the butterflies move in unison, and nothing is binding the arm or the cable. If that checks out, time to look elsewhere.
Where is the sound coming from? Pinpointing the location will be a HUGE help in diagnosing the problem