Will this be useful for solving real-world problems here and now? Probably not.
Does it help us better understand the universe? Absolutely.
The black hole information paradox is important in physics because a pretty fundamental idea of quantum mechanics is that it shouldn't be possible to destroy information. Burn a book? The complete information about all the molecules in the book are still encoded in the wave function of the system. Annihilate it with anti-matter? The information is now carried by the resulting gamma ray photons. You can make it difficult or impossible to recover the information, but the theory says you can't actually destroy the information itself.
This is why black holes are so interesting... having stuff disappear behind a one-way event horizon is basically the same as information destruction. It was a pretty fundamental paradox.
Now, whether you care about advances in theoretical physics is up to you, but to answer your question "who cares?"... I do. Nerds do. Join us... the universe is a wondrous and beautiful place.