What advantage does Docker really give you for long live mostly stable resources like databases?
For batch processing, my usual pattern has always been to move the data from (slower) network storage to local storage, process, move results back to network storage.
Well whichever advantages of containers are important to you I don't think you lose them just because the process reads and writes persistent data. It seems like you're really questioning whether it's as compelling a use case, which is a bigger topic and depends on a lot of specifics.