IDK, that is an interesting thought. Certainly that these eyes can see within certain levels like a Tailed Beast's chakra within a Jin.
Although you have to remember that Karma is not a RS level tech, it is a transcendent level. So much like the Uchiha Tablet, if you want to read more, you have to have the correct eyes. Meaning that only another awakened can see what is going on with the Karma.
Yeah, what I've been thinking about that. Since it is Kishi, she is kind of useless so we have to speculate on her powers. Considering that we can just use parallels and antithesis, we can surmise what exactly lies to Hamura's powers.
From what I can tell, Hamura would probably know more about it since his speciality is banishment or sealing. Although Karma is about saving information rather than deleting it, it could be that Hagoromo would know more in terms of what currently is going on with the recipient/vessel.
This is why it is important that they expand more on the Jougan at the very least.