As far as I have any opinion on this, it seems I have more concern for the wellbeing of Palin’s kids than she shows any evidence of.
As a non-parent, I wouldn’t normally comment on people’s parenting styles, but since she insists on constantly inserting them into the scene—usually accompanied by a self-serving “Why are you picking on them?” rant at some point—I guess I’m allowed to have an opinion.
The kid already said last year that she was behind at school and having trouble catching up. Book learning isn’t everything, but she’s already going to stand out from her schoolkid peers because of her mother’s and family’s antics and profile. Keeping her out of school isn’t going to help her socializing skills.
Hanging out with a bunch of adults can be gratifying at that age because of all the attention and “Aw, cute!”, but it’s an unrealistic environment to prepare a child for the wider world (I’m leaving aside the sort of rhetoric she’s exposed to on these tours, which ... well ... yeah).
And if she’s now home-schooled, I hope it’s not her mother that’s doing it. She’s a millionaire, she should be able to afford a full-time traveling tutor or two.