This past Sunday I was in LBL and asked a park ranger if the new law on carry in nation parks and wildlife refuges was going to include LBL. He told me they are waiting to find out what LBL is going to do about this and also how they are under different agencies, LBL is forest service instead of Dept of interior.
He also told me that LBL is using officer discretion on people with carry permits even though it is against policy. Without coming out and saying it he told me it was alright to carry with a permit and that if he was where I was with his family he would not want to be unarmed. He said "I cant come out and tell you its OK to carry. He said the officers in LBL felt that citizens with carry permits were the least of their worries and knew they would not be drinking, transporting drugs, or shooting up the park.
You will have to make your own decision on this but I will not think twice about what to do anymore.