Wasn't talking about the black rods alone but what can be done with them, controlling the bodies using the chakra rods which is connected to the Gedo (Nagato got imbued with them his first summon if it) and Nagato can use all Sage techniques as the 7th path as Konan said. CT doesn't need to be either ST or BT, it's its own jutsu used by Deva path as Deva Pein used it and Nagato haven't shown to put other path abilities in other paths. Deva path uses gravitation forces to push or pull, CT creates a core with gravitational pull.
Madara's aka Kaguya's will came out of the Gedo mazou, Gedo mazou is Kaguya.
In short, both of their will pulled out a great deal of life energy from Nagato to use soul dragon.
The black rods itself is not the outerpath, it's the chakra being transmitted through them.
Edo Madara who had these black rods couldn't use the outerpath at all, he needed Obito or Nagato (if he were alive) to do it.
CT is not deva path move, Nagato channels all other moves through deva like: the body sacrifice substitution technique, astral lantern (akatsuki uses fir gathering), rain at will, and the copy seal team Gai faced during the gaara retrieval arc.
^^In short, just because deva used it doesn't mean it's a deva path technique other Justus can be used through deva outside the six path Justus.
For Haruma and naruto are also casters of chibakui tensei in the Databook and manga as well.
Or him absorbing the chakra is of pretha path that can absorb ninjutsu and chakra. He pulled the chakra out of his own jutsu, CT, the Gedo is used to absorb in the Bijuu's but Sasuke used his Rinnegan to do this and the only ability the Rinnegan shown to use that's close to a feat like that is pretha path.
That was an act of outer path not preta path.
Sasuke himself didn't absorb all the bijuus chakra, his Susanoo did which resulted in a lightning human figure inside Susanoo.
Just like Gedo mazou, the mazou absorbs in the bijuu chakra not the user.
Sasuke used absorption technique on naruto after he punched him.
Deva Pein using it classifies it plus all 3 of the jutsus involve gravitational force. And? CT that Naruto/Sasuke and Hagoromo/Hamura used was a Sage CT and in both cases there was someone with the Rinnegan on and it was a Yin Yang thing. Yin Yang can create things as show with Kakashi's eye and the Bijuu's themselve.
Deva pein never classified it as six path at all.
Did you read the databook on CT?