I don't claim to be an expert on anything, but, I would be kinda leery running loaded ammo thru a tumbler.
If you do a search, you can find many, many threads we've had on the subject. The upshot is that a vibratory tumbler is no problem at all, even after far longer time periods than are necessary to clean the rounds. There's even empirical data to back this up.
consider military ammo is not always stored in optimal tempatures and is usually bounced, knocked, and kicked around in warehouses. Which is stored in ammo cans that are sometimes flooded and damp from hot and cold temps. I'd say as long as you keep it high and dry, you'll be just fine. How long do you plan on keeping the ammo? You'll eventually be too old to shoot. It will far outlive you.