There are some things that are completely unintuitive, like wood burning being under farming labor
Wood burning is part of the ash-potash and ash-lye-soap cycle, all the other steps of which are agricultural in nature. Although charcoal was once widely used in iron-making, the charcoal-burner was not a skilled laborer the way that premodern smelters were. No special equipment is needed to make charcoal and it has traditionally been made outdoors in big smouldering piles; the charcoal-burner was perceived as a rural rustic, as in A. A. Milne's "The Charcoal-Burner":
"The charcoal burner has tales to tell.
He lives in the forest, alone in the forest,
He sits in the forest, alone in the forest,
And rabbits come up and they give him good morning,
And rabbits come up and say, 'Beautiful morning',
And the moon swings clear of the tall black trees,
And owls fly over and wish him good night.
Quietly over to wish him good night"
In areas of the world where charcoal is still made by hand in large quantities, like India and Haiti, charcoal is mostly used as cooking fuel. As many DF vets can attest the demand for charcoal invariably outstrips local tree supply, as seen in this picture of the Haiti-Dominican Republic border:
What DF doesn't model is the other detrimental effects of charcoal production, namely erosion, air pollution, and habitat destruction. DomRep has its own problems but its land has been marginally better managed than Haiti's, which is one reason that illegal charcoaling and charcoal smuggling from DomRep to Haiti is such a big problem- Haiti's ability to produce charcoal has been ruined by its uncontrolled production. I live in a US state that was almost entirely clear-cut for iron production 100 years ago and it has taken that long for the forests to partially recover, even with aggressive forest management programs. I suspect that Haiti is already in a much worse shape than my state was and it lacks the effective government or affluent population needed to make any reforestation effort work, and will therefore continue to erode to the point that the entire country is naked slope, cholera marsh and inhospitable desert
TL;DR charcoal burning is by nature substantially different than other metalworking jobs and has been correctly placed in agriculture (or at a stretch with woodworking)