Don't recurrent neural networks (which have been around in several variants for a few decades) incorporate feedback loops in the sense described in this article

Don't recurrent neural networks (which have been around in several variants for a few decades) incorporate feedback loops in the sense described in this article? I'm curious how a data flow graph could learn representations of itself and of arbitrary human concepts, but I somehow suspect you'd end up with an unilluminating generator of JSON strings with many of our current architectures.