One of the first things I did when someone showed me a pre-Chat version of GPT-3 was try to get it to speak in the voice of Borges. I had the same feeling of interesting but inappropriate.
I was really happy to see this pop up and I'm glad someone went through this as a thought experiment but you make a good point that didn't initially occur to me.
I feel like Borges' secular scifi-adjacent mysticism looses a lot of what makes it most meaningful when it's imitated or dissected academically.
That said it does feel like Borges would probably be into the idea of being imitated.