Question What would Sarai be like if after ADC if she were her father's age...?
I haven't thought that far ahead?? I like to think that she'd be as stubborn as her mum and as precocious as her dad which is kind of a horrible combination bc I reckon at age 11, she'd be cheeky and clever and mischievous enough to hear the word "No," and go "So... Yes as long as you don't catch me."
For example, Uncle Ez holds a festival for the Common Folk every year to celebrate the anniversary of the end of the war but Mum is always like "No, you've got to be at the ball tonight," which she'd take seriously, probably, if Mum didn't also look like she'd rather be at the festival so obvi she argues -
"But Muuuum, balls are so boring and stuffy and I wanna hang out with Lessa and Terryn at the festivaaaal," but, of course, Mum says no, because Uncle Ez still doesn't have kids and Dad is still his heir apparent, which makes her technically second in line for the throne so she can't be out there all by herself (even though, thanks to Mum, she's perfectly capable of looking after herself tyvm).
Anyway, part way into this ball, little Sarai is bored out of her mind and damn, that festival looks so much more fun and you know what? Screw this. She knows enough Moon magic to get away from all this so what the heck, why not?? She conjures an illusion of herself to distract the other ball guests while she sneaks away to party and Mum and Dad'll probably notice immediately that it's an illusion but it'll buy her enough time to wander off and that's all she needs.
By age 14, she's over all the pomp and circumstance and routinely sneaks away to have adventures with Lessa and Terryn (much to her parents' chagrin), and by age 16, when Uncle Ez finally, finally has an heir of his own, she's old enough to decide for herself that palace life is too restrictive for her and wants to travel and see the world and more actively help it be a nicer place just like Mum and Dad.
For all the trouble she causes them, she adores them both and practically worships the ground they walk on and, more than anything, she wants to grow up and be just like them.