Have you checked the accelerator pump diaphragm as the cause of the hesitation?? I would bet that it's the problem. To work properly the twin choke carbs must be nice and clean on the inside, the diaphram has to be in very good condition, all the jets and drillings must be clear, the linkages that operate the second butterfly must be free to work and so on. If you remove the air filter and operate the accelerator you should expect an immediate flow of petrol being pumped into the venturi and this stops when the second butterfly opens.
Please concentrate on the carb before pulling the distributor apart.