Were I you, I would never use the stuff again. Vintage bicycle ownership is supposed to be fun.
Not sure, if that stuff, is even any good, when
seeking optimal polishing results. Never use it, or any other alloy cleaner, yet I manage to get some decent results.
Before...
After...
In the before and after pictures, only the hub was polished. The spokes were replaced, however, they could have been made to look much better, by rubbing them with, wadded up, aluminum foil. Back to the polish...
Alloy polishing is removing the high spots, to create the smoothest surface possible. This is best accomplished with abrasion, from rough to extremely fine. You can use wet sanding paper (by hand), or polishing compounds (on a polishing wheel). I use both, depending on the situation.
The product, the OP used, will remove the loosest oxidation high spots, and perhaps even some of the low spots. However, the surface will still be rough. Not by the feel standard, but by the reflective standard. So, you have to even out the entire surface, minimizing high and low spots, and no manufacturer's alloy cleaning compound, that I know of, does that.
Hat's in the ring...