I have prime, but usually it would give the option for release day delivery. When I try to pre-order it, it would say something like "order now and we will notify you by email when we have an estimated delivery date".
One day delivery is usually accompanied by the release date if it's a release day delivery.
Not every game gets the release date option, I believe. I think they usually provide that for particularly popular titles, which, obviously doesn't apply in DOA's case.