I've tried it all over the last 50 years . Rotary Thumblers Tumbler with wet , with dry .
Vibrating unit with cat litter , corn meal , rice , grits , sand blasting media , lizard litter - all with various additives like Nu-Finish , liquid car wax , Turtle Wax Chrome Polish ...
After it is all said and done ... the best method for me (mostly handgun)
is a large capacity dry vibrating model with Midway USA brand Treated Walnut Shell brass polishing media - this stuff is treated with brass polishing rouge and is not dusty ... adding liquids just shortens the life of the media ... don't add anything except matbe a tablespoon of mineral spirits to a dirty batch but not every time (mineral spirits will evaporate and not wet the media .
Have plenty of room , plenty of media , run unit with top on , Midway Treated Media is perfect , not too wet / too dry and is the correct size .
When it stops polishing ... change it .
Worst mistake is using too small a unit and not enough media ... cases clean faster when they have room to swim around .
What I don't like about wet tumbling is the need to get the cases perfectly dry inside and out and wet tumbling leaves no prtection on the brass ... you have to treat the squeaky clean brass with something or the shine quickly turns dull and corrosion will soon set in if you aren't careful .
With the dry treated walnut media ... remove and load !
Gary