PTHash and other minimum perfect hash functions return an arbitrary value if the query key did not exist when building the MPHF, so they can be a lot smaller. B-field can identify query keys that don't exist in the set (with high probability?).
What I'm wondering is why the Kraken2 probabilistic hash table doesn't work. It uses 32 bits per element in an open addressing hash table. For 1 billion k-mers and 19 bits for the value, 32 - 19 = 13 bits of the key hash can be stored alongside the value, helping disambiguate hash collisions. If the load factor is 1.25x, then that's 4 * 10^9 * 1.25 = 5GB total, better than ~7GB. Also, this is only one cache miss (+ linear probing that can be SIMD accelerated) per lookup.