It's true that the stream-cipher and/or hash-based CSPRNG constructions that are commonly used are not broken by quantum computing.
CRQCs impact more than just public key crypto though, and there's more than one way to design a CSPRNG, so it's not true in the general case that they have "no" impact on RNGs.
I believe that Blum Blum Shub, Blum–Micali and Dual_EC_DRBG (backdoor aside) would also be broken by a CRQC.