Tahoe,
The dampers and springs in the carbs are supposed to resist opening which is what gives a temporary rich mixture when you step on the gas. If the dampers where not working well and the springs were weak, then the car may hesitate right when you push down the gas pedal.
As an experiment, use an eye dropper with a small 2 inch long rubber hose attached and vacuum out the existing fluid from your carb dampers. Then fill the dampers with a much more viscous oil than you normally use in the dampers.
Example, if you normally use a 20 weight oil in the dampers, remove it and then fill your dampers with 30 weight motor oil.
Then drive the car as see if the hesitation is gone or improved. If it is, suspect weak/worn out carb damper springs as being the cause of your hesitation. If this experiment doesn't change anything, then just remove the 30 weight oil out of your dampers and refill with your normal choice of damper oil.
Then try something else...
If your distributor/cam/timing chain is sloppy and causing this hesitation, you should be able to see the timing mark move erratically when looking at it with a timing light attached and then revving the engine. If it seems to dance around at the same time as you notice " the hesitation " then it is indeed related to the dizzy or possibly a loose timing chain.
Ed