edo itachi used his susano's sword to seal nagato so why is he not categorized as a sword ninja

susano itachi's standard is a swing from the susano sword he isn't categorized as a sword ninja

madara's mystery is a four bladed attack but hes not classified as a sword ninja and his ninja tool is a blade

gwn madara/obito uses the ninja tool yet he isn't categorized

That might be because the base ninjas they are made of (asuma wb=reg asuma and susa kakashi=beheading sword kakashi) were sword users originally, same can be aplied to itachi were the one he is based of (akatsuki version) isn't an sword user... also technically asuma uses sword since its his chakra hes using and making shape of, while susanoos are more like... stands? i don't know.

I don't fully understand it either tbh.