im not affiliate of any kind but basically use satoshimines as mixer.
play game or two and withdraw to new created wallet. coins will be mixed and no trace for owner of satoshi mines. So i assume there is no logs etc. But bitmixer service is so cheap that i really not sure why you actually going full retard using lbc. What if automated script will flag your account? What if lbc monitor tainted coins and you will end up with frozen account until you supply id and other stuff?
Think man, think.
What you said is true about all the services that are not mixers!
It means you can use anywhere that there is an option to deposit and withdraw, it can be a dice site, it can be online wallet, it can be an exchanger. But you should know that all of these WILL keep logs.
The only option that "may not" keep any logs is a mixer and they only promise not to keep logs. Nobody knows what they really do!