Just like those who moved on from Snow White... and Cinderella... and Sleeping Beauty... and The Little Mermaid... and Beauty and the Beast... and Aladdin... and The Lion King. Kids definitely don't care about those
If there's anything to know about Disney fairytales, it's that the well-done ones stay popular for decades. They get rewatched on movie days at school. They get watched over and over at home. Kids quote them for months. And then when they grow up, they develop nostalgia for those films they loved growing up. And proceed to introduce these films to their kids. I have no doubt the same will happen with
Frozen
Frozen is probably going to be the most timeless of any animated film released between 2011-2020. It's already guaranteed to be more popular than High School Musical for the rest of its existence, since you know... grown men, grown woman, teenage guys, little boys, old people generally have good things to say about
Frozen.
Only girls between 8-14 ever truly loved High School Musical. I think
Frozen will be closer to SpongeBob, Scooby-Doo and the Disney classics in terms of staying power than Hannah Montana or HSM.