I don't use that word "fine" to determine the difference between the work print and the "final" print. We use the term finished. A finished print has been toned and spotted. It may or may not be mounted with a window, but usually is placed on a backbroad or in an archival sleeve.
Does this mean that this is the final version. Depends on changing vision, view point, etc.
Would need to do some research on were the term "fine art" comes from, but I suppose it has been used for a long time to put a name to work that is not "commerical" ie. ads, etc.