On: NIST is announcing that SHA-1 should be phased out...

[miga]

Then why does NIST warn that we might need PQC algorithms by 2035?

Or is this claim ignoring progress of quantum computing?

[luhn → miga]

Quantum computing threatens factorization and elliptic curves, i.e. RSA and ECDSA. Hash functions are considered relatively safe. The NIST's PQC standardization is focused on public key cryptography—I can't find any initiatives from them working with post-quantum hashing.