Your values are incorrect solely because of the fact you are guaranteed a draw SR+ from a 3k pull. Of course you won't for sure always get a kamihime weapon but this guarantee is what will provide you a great deal of SR kamihimes over the course of playing the game. I doubt there is a single player who has been playing from launch that has gotten only ~5 SR kamihimes from jewel gacha.

Those 9 factors you've listed vary and not all of them are requirement. If your going to add in that everyone has every soul, then a lot of them are already filled.