I'd say parts of the universe and one and a half of the pilgrim's tales are cyberpunk, but a lot of it isn't tonally so.

I disagree. Hyperion has some of the surface elements of a cyberpunk work - primarily by way of "The Detective's Tale" (Lamia's story) - but it isn't cyberpunk overall, no more than it's a horror novel by way of Duré's story (for instance).