Hey anon, none of the weapons were changed in my tests, so if I'm understanding you correctly, they should be a non-factor. As for Auras only applying in combat, I will have to double check that when I get a chance. Maybe the only example I used worked out in a unique way that only served to confuse me, haha.
I am using battle values on the edit page of my party. After taking an eidolon out of my party (and replacing it with nothing), I am noticing that I am left with remaining stats that are more than just the base stats of the eidolon for Kamihime that should be affected by it's passive, even though it is held in the sub category.