Justin,
First off, I do not think your problem is related to the choke flap. I'll explain why after I describe a few things.
The flap you are speaking of is called the choke flap or simply the "choke".
Anyway, what's supposed to happen is that when the engine is cold, the choke spring will position the choke flap so that it blocks or partially blocks the opening. That causes less air to enter the carb, the result being a richer fuel mixture flowing through the carb during the warm up process. The choke spring is heat sensitive, so after a few minutes it will slowly open the choke flap as the motor warms up. The choke flap will be nearly vertical if the engine is at operating temperature. The video shows the flap like it should be if the motor was already warmed up. If your carb has a manual choke, then there will be a knob or something in the cab of the truck that you use to "choke" the carb when you start it.
By playing with the flap in the video, you were causing the fuel mixture to run a bit richer, and that caused it to idle a bit better. That, however, is not the cure to the problem.
I suggest that you decide, like many other 620 and 720 owners, if you want to upgrade to a Weber carb or keep the one you have. BTW, I have not heard of anyone who was sorry that they got a Weber.
If you were getting decent mpg with your current carb, then the problem might be as simple as finding a vacuum leak or just running some carb cleaner through the tank to unblock a passageway in the carb. In that case, keeping your current carb may be just fine.
I suggest that you:
1. Inspect all the vacuum lines and replace any that have leaks.
2. Put a bottle of carb cleaner in half a tank of gas and don't add any more gas until it's about empty.
3. Verify that the fuel pump is operating properly.
4. Replace the fuel filter (near the fuel pump)
All that should cost you less than $20 (unless you find that the fuel pump is bad).
Disregard the words on the 2nd photo.
This is what the carb flap should look like with engine warm/hot - operating temp.
Here is what the choke flap looks like with a cold motor.
Inside the "Choke coil cover" is the temperature sensitive spring which causes the choke to open or close depending on the temperature of the motor.
