Good question.
I haven't given it much thought, but after thinking about it, I would say a rooted cutting becomes a "tree" when it is at that point when you no longer have to treat the rooted-cutting as a cutting. More specifically, newly rooted-cuttings are given special considerations, when stored for the Winter, they are usually prevented from forming figs for the first year, at least, they are given special places in the garden where they can grow in a more sheltered location, they may get special fertilizers, etc. Rooted cuttings usually, but not always, need some guidance and extra nurturing to get them to establish, and then grow into a tree. The first couple of years in the life of a rooted-cutting is usually spent growing a strong root system, stems, and branching structure, and not figs.
"Trees" are usually a little older, have well established root systems, usually have a few branches, and can put out figs without weakening the plant. They just are not as tender as a rooted cutting, and can survive through some stress without harmful set-backs.
That's my take on the differences, which may be expanded upon by others with differing criteria.
Hope this helps.
Frank
EDIT :
There is a quick way to getting an almost "instant" tree, and to by-pass a few years of waiting for the rooted-cuttings to develop into "trees"...it's done by air layering a large, fruiting-age branch off an established tree. If you choose a thick branch, approx 1" - 2" diameter, which already has branches of its own, all you need do is plant it and grow it on after it is separated from the donor tree. Voila...instant tree! It will have a good root system, and the potential for getting figs all within the same year, depending on when you start the air-layering process.
F