XLNet (https://arxiv.org/abs/1906.08237) is in essence a recurrent neural network, using a transformer (which is based on neural networks) which recurrently keeps context between different batches. But the gated RNN's, such as AWD-LSTM/GRU, are fading out to the superior transformer architectures, this is true.
That's my only complain though, excellent theoretical introduction.
Although, if anyone wanted to actually implement a transformer, be ware that you want to have a 8+ GB GPU unit available, or be prepared to use cloud computing (Google Colab is free, for now). Training neural networks is quite hardware dependent still.