The Six Paths techniques of the Rinnegan do not differ, they are actually the same. For example Madara, Sasuke AND Nagato were all able to use Chibaku Tensei, and Obito was able to use Rinne Tensei.
All Rinnegan users are able to use these shared Rinnegan Six Paths Techniques; with varying results (depending on the user). However, each user would ALSO have an additional Rinnegan ability which would be unique to them: Madaras 'Limbo', Sasukes 'Teleportation/Swap/Dimension, and even to a smaller extent Nagatos use of the Chakra Chains of the Gedo Mazou.
chibakui tensei is an ability that goes beyond the rinnegan and is labelled as a six path power of all kinds in a sense.
Like Haruma for an example, he has the six path power/chkakra rom his mother like Hagoromoo and he's listed as a chibakui tensei user (a six path chibakui tensei user).
The databook described that power to be the ability to bind all creations.
Toneri manipulating the moon and controlling the meteors around it is that same power that is being used.
Madara's limbo, Sasuke's amenote, an obito's six yang sun flame formation are all rinnegan techniques.
Six path techniques itself is what comes into question on where exactly did it came from.
Look at how madara, obito, and sasuke's absorption technique differ from nagato's preta path. Shrina tensei was not available to any of hem and asura path wasn't able to replace sasuke's arm. I think the issue here is that we are misinterpreting what these justus mean. Like for an example, the six path of pain technique is a rinnegan technique created by nagato. Sasuke and Madara have no knowledge of this technique and certainly can't be used out of spite.
Now who says that all the other six path techniques nagato created are not different than Madara's or Sasuke's?
Also, nagato was never able to use chakra chains.