The Hunter GSP9700 is the finest tire machine ever put inside a shop. However, in 95 cases out of 100, the 9700 is not necessary to get a smoothly balanced tire. In most cases all that is required is any decent computerized balancer in good working order, an operator with an IQ above 70 and more importantly an operator with an attitude of getting the job done right and willing to take the time to do it. Most especially the operator MUST set the machine for DYNAMIC balance, not static.
I would give you a 95% chance that if your car was in my driveway, I could pull off all four wheels and run them up on my fifteen year old Coats 1001 balancer, and afterwards you could run it to 150MPH with no vibration.
Where the GSP9700 comes in is when you have a tire with excessive road force variation (stiff spots). The 9700 has a pressure roller that presses against the tire to measure the stiff spots and propose the solution, which sometimes is to get another tire. As a previous poster said, it also sometimes offers the solution of telling you where to orient the tire on the wheel.
To learn more about the 9700, go to: www.gsp9700.com. Believe it or not I'm not your Hunter salesmen, it's just that I recently went through all this and learned alot about tire construction and balancing in the process.
BTW, I fully expect that the reason there were no weights on the outside is that they taped just behind the spokes. The 9700, and many other recently developed balancers, actually are smart enough to hide the tape behind the spokes. I promise you they did not have ONLY weights on the inboard wheel lip.
Good luck,