It's actually pretty economical to have a second home in Latin America, with copies of all your creature comforts there. Kids get multicultural friends, new language, and much wider perspective on the world.
It’s nice for summer break but it’s really hard to take kids out of school or to switch schools mid year.
Hopefully your reasons for having a child are compatible with the child spending time away from you cos that's going to happen eventually. Your comment suggests you're making a lot it assumptions about what it means for someone to be in a boarding school...
The implication is that the kids will be sent to boarding school because they are inconvenient for these plans.
From the language you’re using, it sounds like you are saying this is a possible way for this snow bird to LA lifestyle to work for a family.
But that you have not tried it yourself. Is that right?
Also, I'm not sure how the children would integrate with their classmates if they are only in the class 1/2 the year. Even worse if you are in the other country for the winter, i.e you child gets 2 months in the US school, is gone for 4, then back for 2.