[GTP]

Yes, I happened to study how the Fiat-Shamir transform works a couple years ago, but I only saw it in the context of using it to transform an interactive zero knowledge proof into a digital signature scheme.

So, if the prover can know beforehand how an hash function behaves, wouldn't this make it a more general attack on hash functions (so potentially even worse than how it is presented in the article) and the Fiat-Shamir transform is only broken as a consequence of it relying on an hash function? If not, why?

[quantumgarbage]

This is not an attack on hash functions in general. In this paper, the authors build a statement (or "circuit") which should, by construction, not have any accepting claim. Yet, they show that when using GKR along the FS transform, you can still get accepting proofs.

This has to do with "how an hash function behaves" in the sense that, in the context of a specific protocol (GKR), it is possible to bake in the circuit the ability to predict the randomness obtained from hashing the statement itself and the public values satisfying it.