I would not
The 22lr is a rimfire round as we all know. That means the priming compound is spun around the base of the brass and hardens around the rim on the inside of the case
I would suspect tumbling in a vibrating brass cleaner is likely to break the priming compound away from the rim. This will result in spotty ignition at best and completely inert ammo at worse.
Um, no. Different kind of "tumbling" being discussed here.