IRL it can’t, but neither can chopping trees down and then making them into planks.
Charcoal making just picks up the role as possible source of grinding construction, because IRL it’s a process that requires quite a bit of skill to do properly.
Construction is one of those skills that have no good way of grinding it without books and has kinda useless higher levels. Adding a way to level it without explicitly grinding (as in, repeating the same action purely for the purpose of leveling) could make the underused skill less underused.
Moving it to cooking could make more sense, but then there would be no positive side effect of people training construction without hunting for books.
But then you can reinforce them and that doesn’t have that limitation. By repeatedly reinforcing and dismantling foot rags you can grind it up to 10.