I have no experience tumbling or vibrating loaded cartridges because I know intuitively this shouldn't be done. Actually, I don't believe tumbling will cause the type of powder changes I am talking about. Vibrating cleaners would be much harder on them.
As for an authority, I quote from Lyman's 47th Reloading Handbook (page 22), "Loaded ammunition, and primed cases, should never be tumbled. There is a risk of the primer pellet or powder granulations breaking down and causing unintended problems. It is also possible that ignition of the loaded ammo or primed cases could occur."