Yes, and a can of this stuff will last a long time. It has a number of uses, I use it on the anything steel or brass that has a polished finish on it. I've been asked at the range how I get my cases looking so good. It's all a matter of what works for you. Spin your case, run the cloth over the case neck and shoulder, then while it is spinning use a soft cotton cloth to wipe off access. I've never tried the "0000" steel wool, however I am certain that it will work also; I know it works on copper pipe before soldering. And......no matter what you use, the wooden dowel does a really nice job spinning the cases as you apply whatever method that you want to use.
I use a K&M case turning tool, with a shell holder for the cases to be cleaned, in a drill motor and a nylon pad sprayed with "Windex with Vinegar" and turn the brass in the drill motor, while holding the pad around the brass and clean the whole brass including the neck which has the black on it. I do this prior to F.L. or Nk. sizing and depriming the brass so as not to get the dies dirty inside. then I place them in the tumbler with corn cob media for 4 - 6 hrs. They look like new brass when finished, except for the inside of the brass. Some benchrest shooters I know use a wet tumbler with stainles steel media. the inside and outside, including the primer pocket is like new brass. you have to seperate the media and solution and rinse and dry the brass then.Is there a way to remove the black from a case neck after tumbling your brass? If this is a repeat could you please share the link?
On the out side 0000 steel wool will take it off and polish the brass. If you're talking the inside, a case neck brush will usually work fine, but I don't worry about the inside as long as the brass has been cleaned.
The 0000 steal wool does work very well especially when used in conjunction with these Lee case trimmers
You order case trimmer cutter lock stud and the case length gauge shell holder for your caliber. Chuck it up in a drill spin the brass holding the 0000 steel wool against the case to clean it up works great is really the ticket for low volume shooters no need at all for a tumbler or sonic cleaner.
https://www.midwayusa.com/product/476992/lee-case-trimmer-cutter-and-lock-stud
https://www.midwayusa.com/product/1012838679/lee-case-length-gauge-and-shellholder
What do you use for the wet media? Soap, water or a brass cleaner? Curious...Switch to stainless pins and wet tumbling and you'll never have this issue. Wish I'd have switched years ago. Brass looks brand new inside and out when it's done.