I have used my US cleaner to mainly get lube off of cases, it's the bigger Harbor Freight model (same as the Lyman, just different branding). Anyhow, I have done several different solutions. First, I started with the multiple step process as stated on 6mmbr.com, which is fucking stupid, by the way. Then, I did water, dish soap, and US solution. Then I did dish soap, water and lemi shine. Now, I just do water and dish soap. I use only cold water as I noticed the hot water discolors my brass significantly. Furthermore, the lemi shine also discolored the brass (just a tiny pinch of the shit) around the necks and rims of the cases. I have zero ideas why this occurs, but it does.
Now, I use an SS tumbler with water and Dawn. I only do the US when I want to get lube off of my cases. Wet tumbling only sucks because of the drying factor, but outside of that, it make the brass brighter than when it came out of the bag/box.