I have a moderate amount of brass that passes through my hands. After sorting by caliber, I rough clean with dry media which makes sorting by head stamp a lot easier. I seldom sort the pistol brass by HS, but usually do sort the rifle by HS. Then the more desirable HS gets the wet pin cleaning. The brass I intend to keep for my own use gets the wet pin cleaning. For wet cleaning of brass that is not stained, I just use the wet solution (Lemi-Shine and Car wash & wax concentrate). Washed cases go for a spin in the rotary separator before the drying trays. Dry media cleaning also goes for a spin in the rotary separator to remove the media.
I also wash the old media, strain it though a fabric lined colander and let it drain well. This helps remove brass bits, and other debris that sticks to the fabric after the media has dried out a bit. After that it goes into a large flat tray for further drying and the media then shrinks back to the normal size. As it shrinks, stubborn bits of debris will become loose and release from the media. Pouring the mostly dried media from bucket to bucket outside in a cross wind helps let the dust blow from the media. Even then, I will fill the dry media cleaner, toss in a few scraps of rag and let the machine run for 20-30 minutes to clean out whatever is floating around. Then it is ready to remove the rag and use as normal. I still run the rag strips with the dry media to help attract the dust that is released as the brass receives the first cleaning.
Is one method better than the other? Most people seem to think so, but why limit it to just one tool when both have their purpose. As to the size of the media, yes there is some concern about the media getting stuck in the flash hole, or perhaps packing into the primer pocket. The fine media does not seem to do this, but if handling large bore cases, the size would certainly be less important that if cleaning 22 cal or smaller.