The peening of the case mouths can usually be mitigated by either reducing the amount of time or increasing the amount of media and/or brass in the tumbler.
When I first started, did a batch for about 2 hrs, great results. Being a typical guy, more is better, right? So I left a batch in over night, like I frequently do with my vibratory tumbler. Holy heck. The mouths were so baddly peened, they looked like they'd been ran thru a roll-over crimp die - without a bullet inside. Couldn't get rid of it with a chamfer/deburring tool; had to trim those suckers back a good 10-15 thou and start over. With new brass :/
Over time, I've found a few things. Like I said, time is a critical element. The longer you have 'em in there, the more things can happen to the mouths. Also, case size plays a big factor. A .223 Rem case, climbing up the side and then tumbling back down the slope of the 'pile' in the tumbler, isn't very likely to damage its mouth, or any other cases' mouth, on the way. A .338LM case... sweet jesus. Those things have enough mass to dent themselves and everything else in sight in short order. The more 'fill' you have in terms of # of cases / amount of media affects how freely the cases 'fall' when they climb up the side and tumble back down. To some degree, thats sort of tied to the case size: I can only fit about 50 .338LM at a time in there with the media and water, and not go over the weight rating for the tumbler - but I can fit about 200 .223 Rem cases. I have spoken with people who have ran theirs overnight, supposedly with no ill effects - but they had that thing so over-loaded it had to have been slipping the belt on the pulley!
Nowadays, for my .308 F/TR loads (vast majority of what I shoot in matches) I tumble for about an hour. Is it perfectly clean? Nope. Is it clean enough? Yep. No grit, no dust to get drug thru the sizing die, etc. Is the chamfer on the case mouth pristine any more? Nope. Does it matter? Dunno, because after F/L sizing I run the cases thru a Giraud case trimmer that touches them up, so its a non-issue for me.
I shoot a (very) little Benchrest - a match or two a year with my .30 BR, all 31 pcs of brass, turned down pretty thin (don't recall off the top of my head, the gunsmith supplied them with the barrel). I don't have enough of them to really make a load worth doing in the wet tumbler, so once every year or two I haul out the ultrasonic cleaner and zap 'em in there a few times. Load 'em and shoot 'em once or twice for practice, then leave 'em alone other than a quick twist with #0000 steel wool on the neck/shoulder until the next time I get bored enough to clean 'em
YMMV,
Monte