Before revision:  The main insight provided is that the performance measures obtained via the cavity method for a load balancing policy with {\it  memory reduce to the performance measures for the same policy without {\it  memory provided that the arrival rate is properly scaled.
After revision:  The main insight provided is that the performance measures obtained via the cavity method for a load balancing policy {\it memory reduce to the performance measures for the same policy without {\it memory provided that the arrival rate is properly scaled.