Although they still want to avoid those, non-cryptographic hash functions often care a lot less about collision resistance, which is a problem when fingerprinting, which is the use case here.

The alternative to a CHF in this case is not a non-cryptographic hash function, it's a dedicated fingerprinting scheme (like Rabin fingerprints). But a CHF is a perfectly good fingerprinting function if you don't have more specialised needs (like rolling hashes).