Disconcerting opening. If you want to put hash algorithms in the same category as symmetric keys in this particular case then say so without referring to them as if they are symmetric keys.
Hashes are symmetric cryptography primitives, and it's even proper to talk about key sizes for e.g. HMAC and HKDF hash-based constructions, to which Grover's algorithm applies analogously to how it applies to cipher keys.
Hashes are symmetric cryptography primitives, and it's even proper to talk about key sizes for e.g. HMAC and HKDF hash-based constructions, to which Grover's algorithm applies analogously to how it applies to cipher keys.