don't know why I didn't realize that draw, drag, draft are all kinda essentially the same word https://en.wiktionary.org/wiki/draught not sure exactly what metaphor is operating to get us to "draw" as "make marks on a surface in order to depict something"? because you're dragging the pencil across the surface of the paper?
also weird that writing is etymologically *carving* while drawing is etymologically *extracting*
@aparrish I've looked into this and thought about this before, and the conclusion I came to is that "draw" is from "drag". (Recall that graphite pencils are a relatively recent invention; in the Renaissance, if you made a drawing you were probably using silverpoint, and silverpoint is definitely a kind of dragging: https://en.wikipedia.org/wiki/Silverpoint)