Kaina Uzumaki lived for two reasons.
One, she was born.
Two, she hasn't died yet.
And she wants to keep it that way. At all costs.
It has been years since the Hyuuga-Uzumaki incident and nothing interesting happened so far. What with the Hokage and Hinata's father being the only person to know what actually happened back then.
Solving problems without solutions. Uzumaki style.
No one is harmed. Permanently, at least. Although her kidnapper wouldn't be getting a promotion any sooner for turning in clones instead of actual living Hyuuga and Uzumaki.
...A three-year-old girl creating solid clones that managed to fool a jounin. No one had any idea how she did it. It just happened.
The Sandaime kept everything under wraps to preserve what was left of Kaina's childhood days. He wanted her to not become another Kakashi.
The Last Hatake was already a genin when he is only two years older ahead Kaina. Look at how well it turned out. Konoha doesn't need another child genius right now.
It's better that they stay in the dark about this. What they don't know won't hurt them. Just like how he told the villagers that his successor entirely sealed the Kyuubi inside the Shinigami's stomach.
Letting everyone else remaining ignorant or uninformed about the Hyuuga-Uzumaki incident will allow the Sandaime to not have the sense of responsibility to worry or think about it and keep the youngest Uzumaki hidden on plain sight.
In the end, it was decided. Kaina Uzumaki, the last living royal Uzumaki in Konoha will start enrolling in the academy after her eighth birthday.
"... I have a clan?"
Well yes, but actually no. Is there any way to explains genocide to an eight-year girl without traumatizing her?
"You don't have to talk about it if you don't want to, Sandaime-sama. I know I'm the only Uzumaki living here."
"Study hard and make your parents proud. You might wear this hat one day."
Kaina shuddered. Wearing that hat is one thing, but to actually succeed the old man and become the next Hokage? No, thanks.
The Nidaime is the brother of the Shodaime. The Sandaime is the student of the Nidaime. The Yondaime is the student of the Sandaime's student. See? She can see the pattern!
She will be able to avoid being a Hokage as long as she didn't become the student of their students. Hopefully.
Which means...
She really needs to compile a complete list of people to avoid in the future.
"There is no need to wait for that day. See? I'm already wearing it. Thanks for the meal anyway."
Hiruzen Sarutobi is the most friendly Kage out of all great ninja villages, but that doesn't mean people would just laugh openly at the scene of a little girl snatching his hat. He isn't known as the God of Shinobi for nothing.
The Anbu guarding them was glad they have their mask on.
"Did something happened to Neko-san? Why did she seem to be a different person?"
"Anbu mask is passed down from owners to owners. Wait, you can sense them?" The Sandaime raised a wrinkled eyebrow. How could this girl get kidnapped if she can sense a hiding Anbu?
Perhaps her ability wasn't as strong as today. That must be it. No need to get worried over a simple detail.
The only thing he needs to be worried about is the unhealthy amount of ramen the girl was, and undoubtedly is, eating.
Without an Uzumaki in the vicinity, Ichiraku ramen wouldn't be gaining a massive amount of profit enough to open branches all across the elemental nations.
The only thing preventing them to actually spread their business beyond Konoha is the lack of Uzumakis anywhere else. No Uzumakis equals no stable source of income.
Kumo and Kiri must have hated ramen that much.
Ramen is 50% broth, 40% noodles, and 10% everything else. It's not clear if they hated the 50%, the 40%, or the 10%. It's impossible for someone to 100% hates ramen.
Or they just liked tsukemen, which is worse.
"15 bowls in under 6 minutes! Keep it up and you will break the world record."
"Thanks, Teuchi-san. I will try to do my best."
"If being a ninja doesn't work for you, why don't you try being a competitive eater?"
"I will think about it."