Richard the etching does remove the browning/rusting but only on the non steel parts. So the etching highlights the Damascus pattern. I also use Laurel Mountain. The more times you rust/etch the more it stands out. On all the guns I did for myself I never gave them more than 5-6 rust/etch, any more it would distract and make the rest of the gun not look as nice if said gun wasn't totally refinished. Kind of like putting a dress on a pig its still a pig.
When I etched I used Radio Shacks Etchant, made for electrical circuit boards. I used the solution to about 15% with water. They say you should use distilled water but later on I was using my well water.
I don't have a picture of the etching tank but it is 4" PVC with a flat cap (glued) to bottom and a loose cap for the top. Tank is big enough for 32" barrels and some spare space.