In my experience labs are not big correctors. My dachshund has doled out more corrections to dogs whose behavior she didn't appreciate than my lab ever has in her 6 years. The learning from the older dog is more of a "monkey see monkey do" type thing. Piper sits before she gets a treat, Roo will take notice and start sitting so she can get a treat. It's that kind of thing.
It also works in reverse too unfortunately. We don't have the same rules for the little dogs around here as we do for the big dogs. Little dogs can lay on the couch, big dogs cannot. Not fair, I know, but it's kinda just how it is (they are allowed on the bed though!) The big dogs know this and sometimes try to get away with some of the stuff their smaller counterparts get away with like jumping on people and sneaking up on the couch.