Sasuke went all out on Kaguya and 6 paths Madara and he did not use any 6 path abilities but when he wanted to capture the tailed beasts he used Deva path and when he wanted chakra he used Petra path and that proves he has it. he treated Momoshiki like Madara and Kaguya and did not use any path powers. Nagato had Madara's Rinnegan and used all paths but just like Sasuke, Madara only used Deva and Petra paths.
Indra and all his descendants had Yin Release and there ancestor is not hamura but hagoromo..the Rinnegan gives you access to y-in-yang so no i don' see what hamura has to do with anything...Hagorumo could have just loan the yin seal to hamura to help him seal mother..the seal was never stated to be hamura's
You are right about sasuke didn't use paths against kaguya, but sasuke had already made an excuse of why which is him being a rinnegan rookie which kurama confirmed. Adult sasuke is no doubt a rinnegan master so he has no excuse to fight exactly like a rookie.
How can rinnegan(momo) made rinnegan(sasuke) completely garbage while taijutsu and a toddler are better off? Perhaps the rinnegan(sasuke) is merely a decoration?? That make so much more sense than saying rinnegan master rather die than use any path of his godly eye due to
godly eye is being completely useless
Manga facts:
1. Hago and hamura were born as kaguya's
2. Hago and hamura teamed up on jubi(both's strength are roughly equal)
3. Hago uses yang seal while hamura used yin seal to seal kaguya
4. Hago became a jin
5. Hamura went to the moon empty handed(unfair treatment of not being a jin like hago)
6. Hago died and use COAT to split the bijuu
Notice it didn't indicate hago loan yin seal to hamura, but rather indicating hamura entrusted jubi and possibly yin seal to hago
In order for you to say manga possibly say hago loaned it to hamura, you have to see somewhere in manga that hago possessed yin seal before hamura using yin seal. I seriously doubt manga ever said hago was holding yin yang seal before kaguya was sealed