To further problematize this question (which I don't feel like I can actually answer), consider this paper: "Transformers are RNNs: Fast Autoregressive Transformers with Linear Attention" - https://arxiv.org/pdf/2006.16236

What this shows is that actually a specific narrow definition of transformer (a transformer with "causal masking" - see paper) is equivalent to an RNN, and vice versa.

Similarly Mamba (https://arxiv.org/abs/2312.00752), the other hot architecture at the moment, has an equivalent unit to a gated RNN. For performance reasons, I believe they use an equivalent CNN during training and an RNN during inference!