actually want from Hinako's group.
Theyre a group of refugees that have little to no knowledge on How the World they are operate and have been exploited by Said World
They see in hinako something akin to Jesus, someone of their people, living like their people and that was willing to be against the current structures of the World
After years of suffering seeing something akin to anime and manga happen all they can do is pray and beg for a difference to be made and for their struggles to not be futile
Which is why she asked to take the children in specific, both because as we know they have no cheat so once the cheat generation perishes they have no ways to protect anything
But also because Offspring is a biological perpetuation of a species, its a way for them to keep saying they are a part of this World, that their suffering wont end with them, that the dream of the children Will actually be true
TLDR; They are desperate