It seems to me there are basically two possibilities here, and we have no way to choose either one, or label the other as nonsense. Either the spacetime address of an event uniquely specifies that event, such that events are "written in stone" directly into the spacetime (and then we'd need some form of consistency criterion, it is of lesser importance exactly how we specify it), or else the spacetime address is a more ephemeral and locally meaningful entity, that cannot be uniquely associated with an event but can be "reused" as easily as a phone number. Since we only ever use spacetime addresses either locally in our own corner of space or cosmologically for the whole universe (along with the simplifying cosmological principle), we have no way to distinguish these possibilities with anything that has been done in modern science. We'd just be guessing at this point, so why we think we know the answer when we are just guessing is the real question here.