Wow! suspended wax, abrasives and petroleum distillate. Basically this is a combo of McGuire's rubbing compound and McGuire's regular liquid car wax. This tells me, that based on Aramith's own recommended formula, use most any comparable car product, and if you have a tough bug stain, use a little Aramith Ball Cleaner on your car.
Speciality products like that are most often repurposed existing products. A product called "After-Bite" for bug bites is just about a pennies worth baking soda and ammonia in a magic marker. It sells for around $7.99.
The famous Magic Eraser is just malamine foam used as speaker insulation. Then someone discovered it's amazing ability to clean and a product was born.
I doubt Aramith commissioned a group of chemists to create their ball cleaner. They just buy it from chemical company and have it packeted for them. That is not to say it is not good, just not special.
It's funny sometimes what companies do. I was in home Depot looking at bug spray. I was reading labels and found a lot of deceptions. You find the exact formula by the same company touted for different purposes at significant different prices.
One spray was $3.99. The exact same formula by the same company was $7.99.
The difference was one was a general use spray with a list of bugs it worked on. The other was in a black can with an ominous looking picture of a giant flea. They know someone with a bad flea problem will be more inclined to pay more.
I once took a course in marketing. One of the lectures was a former CBS advertising guy retired. He made millions after retiring selling everyday things for different purposes.
I remember one that was just a fold up cardboard box. He had them made and printed to look like wood grain. He called them Stackables. You got like 5 in a package and could stack them for storage.
Another was some amber glasses he marketed as driving glasses. I don't know what their original use was but he got his hands on like 10,000 for pennies a pair. They sold out from a small ad in TVGuide.