The finish after SS tumbling is going to be different than a vibratory polish will produce and this is normal.
I have used 3 or 4 methods for different reasons and have settled on clean instead of shinny because of the benefits of through cleaning.
I would rate the SS tumbling as the best way because it cleans the inside and out side the best, Ultra sonic is in my opinion the second best at cleaning and the easiest to do, especially in small batches.
The vibratory method only polishes the outside of the case and for some reason it doesn't clean the inside. It also uses polish with the media that can be harmful to the barrel bore if not totally removed from the inside of the case. To do this requires another step that normally requires a solvent of some sort. If this step is not performed, barrel wear will be accelerated from abrasives being blasted down the barrel because it will combine with the powder charge and abrade the bore at a faster rate. It does look better, but after many years and improved ways of cleaning it has become my least used method because of the residual material difficulty to be removed and the lack of cleaning.
The only time that there is an advantage to vibratory polishing is if you are trying to sell some used brass and make it look good. I wont buy any brass that has been polished unless i know the person and his reputation for honesty because it is very hard to tell how many firings it has actually seen.
The last method I use is the steel wool. it only cleans the outside and is time consuming. It is sometimes a good way to remove corrosion before tumbling
and is good for very small batches. In my opinion it is the only way to clean loaded cartridges.
Shinny looks good, but clean "is" good so don't worry about getting the brass shinny, just clean.
Just my opinion
J E CUSTOM