Any job/skill that allows the dwarf to gain experience should have some profession name associated with it.
I'm not sure if I'm using the terms "job", "skill", and "profession" correctly, so here's an example of what I mean:
In recent starting builds, I've taken to the following base plan:
- Proficient Miner
- Proficient Miner
- Proficient Grower
- Proficient Stone Crafter
- Peasant
- Peasant
- Peasant
Each of the three peasants is, upon arrival at the cliff, immediately assigned a primary duty: one carpentry, one masonry, and one woodcutting.
When the carpentry peasant gains enough experience to become a novice carpenter, the game announces that he "has become a carpenter", and he's thereafter listed as a carpenter.
Similarly, the masonry peasant eventually "becomes a mason".
But the woodcutter peasant just remains a "peasant" forever. Even though woodcutting is a job that gains experience.
He should "become a lumberjack". Or "a woodcutter".
Or even, if it's an easier fix, "a carpenter". Not that he has carpentry skill - just that his profession title is "carpenter".
The latter suggestion actually happens today in at least some cases - for example, people with whose highest skill is "stone detailing" are listed as "masons" - even if they have absolutely no masonry skill.