Why not. Hears my flavor on it. I have and did or do use wet pins and dry media.
First Wet. I found, presoaking the cases in a big squirt of Dawn with a pinch of Lemi-Shine in boiling hot water soaking for 1 hour, mixing it around with a wooden spoon every 10 minutes or so. This will remove 50% or more of the carbon build up. Then I pour it in the wet tumbler and fill almost to the top with boiling water. Tumble for 15 min- 1 hour. What ever works. Brass cases cleaning is a process, always evolving. You do have to experiment. I have gotten mixed results, from wet tumbling, as far as the finished product is concerned. The primer pockets never do seem to get clean, maybe 50%.
For those using pins, there are other SS media (small chips) which are suppose to clean the pockets better. I have yet to buy any, but will one of these days. If anyone is interested, I can give you the sites that carry them (about $37 for 5lbs). If you want the cases to dry quicker, when separating from the pins (I do it in the tub) rinse with only super hot water. Strain and dump on a towel, rub dry, lay out somewhere and they will be completely dry in a couple of hours. Boiling water does not hurt brass. Water boils at what 200 and to ruin brass it needs to get to 450. Even when the military experimented with Ammonia on brass, it took one hell of a lot to even make a difference, I've educated myself about this scare.
After wet tumbling, tried my wife's food dehydrator, worked great, but using super hot water works much quicker without more mess, another machine and process.
I now use my wet tumbler with dry media. After a cleaning soak in hot water and there completely dry. I have 1 wet tumbler and 4 vibratory tumblers. Later this year I may buy a small concrete mixer and customize it.
Walnut with a good additive to clean and Corn Cob with additive to polish after I size the case with lube. Harbor Freight has the best price on walnut media (25lbs), if their out Home Depot has it (25lbs) for a little bit more. Grainger's has the best price on Corn Cob by the 50lb boxes.
I sell quite a bit of cases, since I have access to it and the spare time to work with it. Difference is mine is mostly step at a time, no progressives or AutoDrives. Way to rich for my blood. I provide brass to shooters and loaders, the same way I do for myself.

A cleaned up pile from 2 months ago.

A pile from last weekend. I do this about every other month.
The red bucket has over 300-.243 cases
The large bucket behind it has over 5,000-.223 cases

Wet pin tumbled, drying after hot water rinse.

These are how all my dry tumbled cases finish. Look at the difference in color from the 2 above pics, upper with wet pins and the lower with dry media.
And yes I clean all my primer pockets by hand, gauge them and remove flash-hole burrs before cleaning.
As much as I handle my brass, unless I want to wear rubber gloves all the time, the dry media leaves a protective polish on the case, no matter how much it's handled, just rub it on a towel and it's like new.
Wet tumbling takes it to bear metal with no protection. I have had cases show tarnishing after just a couple of weeks. I don't know about yours, but my hands produce quite a bit of oils while working and it shows. My cases seem to glide into my sizing dies with very little lube, haven't had a stuck case yet, which has been polished. This is a plus for me, soon I'll be offering sized cases also.
Just my take on cleaning cases. We all have our own flavor, right?