Hey Mongo!
I decap everything with a hand-held decapping tool prior to tumbling.
With the steel pins, a healthy squirt of dish soap (I use the yellow kind...don't know what brand), and a heaping spoonful of Strat-o-sheen (might be a teaspoon), really grungy, black powder stained 44-40 brass comes out clean and shiny in about 2 1/2 hours. The primer pockets are also bright but the inside of the cases are slightly darker. I don't bother with the Lemi-Shine anymore but it does smell nice.
I've wet tumbled the same type of cases prior to removing the spent primers but the brass comes out with a dull and discolored appearance. Likewise, nickle plated brass does not do well with my cleaning recipe.
After I dry tumble brass, any bits of dry media stuck in primer pockets or flash holes are knocked out by the decapping pin when I run them through the resizing die on reloading day.
I might give the wet tumble sans pins a whirl next time. Thanks for the tip!