I haven't read much of the literature around deep learning, mostly only what has been applied to computer vision. But from what I understand, the general consensus is that the current crop of state-of-the-art deep learning models are very good at performing specific tasks (machine translation, object recognition in images, etc.), but are not so good at generalising across multiple fields. This seems more relevant to the domain of reinforcement learning (which does indeed include deep learning), which has proven to be a very difficult problem to solve.