I think that each method has it's advantages.
For my rifle brass, I use the SS media. It gets the brass 100% clean, inside and out, in a couple of hours. Tumbler capacity is limited to about 2 pounds of brass, so batches are relatively small. I'm not a high volume rifle shooter, and more concerned with percision than production. My rifle reloading routine is a little OCD.
For pistol brass, I use the vibratory tumbler and corn cob from Walmart. It gets the brass "clean enough", and I can do large volumes. With pistol loads, I'm not as concerned about the cases being spotless.