I have a Lyman 600. Good unit. I also have a Frankford Arsenal SS pin tumbler. I use both.
If you want your brass clean on the outside, with no regard to the primer pockets, the L600 is the brass cleaner for you. What it doesn't do is clean the inside of the case (I don't know why because media gets inside the case '??'), and it won't clean primer pockets. In fact, vibratumbling de-capped brass is a total pain because media gets stuck in the flash holes and will need to be picked out - one at a time - with a dental pick or similar instrument that most don't have.
SS pin tumbling cleans inside n out, and the primer pockets (if decapped, of course). It has lots of advantages. But it also has drawbacks. Getting started is more expensive. And separating the pins from the brass - and just dealing with them in general - is a lot more difficult. A magnet is a good investment here
. Then there's also the rinsing and drying of the brass n pins to deal with.
What do I do? Well, both are indispensable tools for my process. I vibratumble the brass from the range first. Once the outside is clean, I decap/resize, and flair. Then I wet tumble w/ the SS pins. Once dried, I have awesome brass - cleaned inside n out - and that makes me feel good.
But my process isn't necessary. If you just want clean brass on the outside to preserve your dies and to look nice, the vibratumble will do it. That leaves the issue of the primer pockets - but that's a whole 'nother post
.