Mineral Spirits is a known solvent for wax based products. Low odor versions available - really cheap. I wrap a bunch of cases inside a towel dribbled with spirits - looks like a hobo's shoulder bag. Then just scrunch them around inside it. Or open it up and roll the cases on the soaked towel with a flat palm.
I just dont like to coat my tumbler media with wax. Media is supposed to be mildly abrasive... coating it with a lubricant seems silly and wasteful to me.
Another way would be to put a spirits dampened chunk of towel and brass inside a rotary tumbler (thumblers) and let it spin.
The point made about firing lubed cases... I dont know of any centerfire factory ammo that has lubricant on the brass (intentionally). That should tell you something.