Bad idea to line function and intention up in that classic (outer) world + (inner) x dualism. Animals over there, humans over here. Stars over there, sun over here. Barbarians over there, civilized people over here. Function for everything else, intention for humans (subjects, agents, etc.)
Human intentions are not outside function, at all. They are function, like everything else. World has been worlding for goddamn ever. Intentions are a speck within a greater functionality. They do not need their own special category. At most, they can be a kind of outside-seeming view of functionality, though still functional.