If and when I make more utau, I'll post about them on this account as well. I have a few utau ideas swirling around in my head, I just need to put them on paper, chose the ones I like the most and refine them. InaI will soon have friends.
Just pretend the name "InaI" in this case doesn't mean anything, as the word's meaning in japanese has nothing to do with the character herself, and to write her name in romaji when writing in japanese to avoid confusion.
The reason my utau's name is "InaI" is because, when I firat designed her in 2021, I was a really edgy/angsty teenager and I wanted her name to be dark and angsty too. I did try to change it at some point cuz it was stupid, but I liked how it sounded so it stuck.