There will undoubtedly be some kids on the ship (there always is) but not a regiment, as there would be over Christmas vacation.
I just posted the first Grand Cayman port review post-hurricane on PortReviews.com at
They were one of the first ships back into Grand Cayman and you can see by the post that the infrastructure is still coming back. However, there is every opportunity that you will port there.
Have a great cruise