A 1:1 state to input ratio is just the optimal performance value (more input than state lowers secury, and the other way lowers efficiency). SHA-3 still has tha

A 1:1 state to input ratio is just the optimal performance value (more input than state lowers secury, and the other way lowers efficiency). SHA-3 still has that ratio, it just supports consuming more bytes at a time. Increasing this size too much reduces efficiency for small input sizes. SHA-512/256 is in a pretty good spot, as the internal state is twice the recommended hash security size, and the output is equal to the recommended size (256bit for "128bit security level). Common tree hash constructions will want to take 2 inputs and reduce to 1 output, which is the exact ratio for SHA-512/256.