I guess another use case could be as any kind of "hint" where you need to do an authoritative lookup regardless of the filter lookup.
E.g., the file might be on this host, but you'll need to reach the host and check for the file either way, so if you go to the wrong host sometimes, it's not the end of the world.
That's something that's not possible with a bloom filter.
Seems like you could combine a shared static file and a host local cache to work around the errors as well (e.g., each host can cache whatever keys they've looked up that were wrong, but they can do LRU to get the best of both worlds (frequently accessed data is correct, while you can look up infrequent data with some chance of a miss).