Dan,
From what I’ve managed to absorb (not much, I’m no chemist) from documents like these, is that the conservation treatment, or how the order of the steps used in the treatment are arranged, is entirely dependant on the condition of the specific bronze artifact being conserved. I think the desalination process that involves immersions in tap, distilled, and/or deionized water are usually, but not always used, and they aren’t always the first treatments used on the object being preserved.
We have a member (Bob Smith) who works in this field, and his wife Dr. Ruth Brown is an internationally known early cannon expert (especially early iron artillery).