While the peening works well, in the hands of someone who knows what they are doing and with the right abrasive, that still falls into the "mechanical" cleaning category.
Those of you who tried "acid"; which kind did you use? There are, in the USA, a variety of acid cleaners made specifically for aluminum, and they are from a variety of sources and manufacturers. Here's one:
http://www.ankosales.com/aluminum-brightener.htmlIf you are outside the USA, look for the contents to include varying degrees of either Hydrofluoric Acid, or Ammonium Biflouride, along with either Phosphoric, Sulfuric or Hydrochloric. The Hydrofluoric is the acid that actually does most of the work; the Ammonium Biflouride turns into that upon use. The others are there to keep the pH lo, and also to provide a sensation should you get this nasty stuff on your skin. You won't feel HF, and it will go through your skin and to your bones. Did I mention you need to take precautions with use?
http://www.sc.edu/ehs/HF/USC-HF.pdfMost of the readily available professional aluminum brighteners used with the proper precautions will do a great job. Some consumer-level products don't work as well as they are diluted or don't contain the right ingredients.