Recently I cleaned my bike which has a lot of stainless steel on it, it's not chrome plated. This was my first real bike clean but I had used alu foil on small parts before, this time I used a steel spunge and a Vim type cream cleaner together, because it wasn't just about the rust but there was a lot of other dirt too. The nice thing about steel spunges is that you can pull them apart into a steel rope and pull it back an forth around tubes and rims, between te spokes. I was very happy about the result and it didn't strike me as very different from the result with alu foil. Maybe there was aluminium in the steel spunge, I bought them in a Chinese supermarket so I couldn't read the label. Maybe stainless steal is just a great material that doesn't scratch when it's cleaned with an abrasive?
Anyway, I'll try if it gets any better with alu foil and let you know.