1. learning a policy that imitates your own behavior on prior experience, which is a trivial supervised learning problem
2. learning how to weight the importance of prior experiences (learning a data distribution), for which the authors have derived a lower bound
Given a pool of experience, this seems like a fantastic off-policy method to optimize arbitrary reward functions. The main shortcomings I see with this method is that it still does not lead to any significant insights into how to collect new data online, which is a major open problem in RL.