A Sun distributer machine is a universal tester for all distributers, it won't set the initial timing. It will just show what advance you have at different rpms and vacuum, it will give you the dwell and show you how accurate each distributer lobe is. It's mostly used for setting up the advance curve of a distributor. I have one out in the garage I haven't used it in 30-years. I use an adjustable timing light to check total advance. You need a KRW timing fixture to set the initial timing. Some guys use a vacuum gauge and set the timing for the highest vacuum and then back it off if it pings. If you ever have the head off, you can make a timing pointer and mark the pulley. Then you can use timing light. Like others said, the hesitation could be the accelerator pump. Looking down the carb, you should be able to see it squirt fuel if it's working. It will only cause a hesitation while the gas pedal is moving. At a steady throttle, it's not squirting fuel so it cannot be the cause of a hesitation.