Would you mind going into detail on what your experience has been with Dawn dish soap? I've used it many many times with the intent to strip old wax and it's worked great with no ill effects. Dawn is an awesome cleaner and very gentle on paint, trim, glass, etc. I guess I see no real reason to use a top shelf soap if your intent is to remove wax, and then you'll be running all sorts of additional products and media over your paint directly after (clay bar, clay lube, polish or paint cleaner, wax, etc.). I personally believe you can achieve the same outcome with equal longevity out of your LSP with less products and time used, with a larger profit or lower end cost to the customer.