As I understand it, the trouble is with "what happens to the information inside the black hole?", not with whether it's there at all or not (which isn't disputed - we see stuff fall in, so it's gotta go _somewhere_ and it isn't in our observable part anymore). In addition, because of the nature of a black hole, how would an experiment trying to test any theory about what happens in a black hole even work? As far as I'm aware, we don't know of any mechanism where stuff inside the black hole affects stuff outside the black hole (hawking radiation doesn't, as far as I'm aware, explain _how_ the spontaneous quantum fluctuations come to be - they're just theorized to happen to satisfy the equivalence principle near the event horizon), but that's exactly what we'd need to confirm or deny anything about whatever happens past the event horizon.
On top of this, just the existence of hawking radiation means black holes vanish over time - but without us being able to say that e.g. a book with mass 1kg or a bag of sugar with mass 1kg was once thrown in. We can't distinguish the two cases - the information (as far as we know today) is lost.
As I understand it, the trouble is with "what happens to the information inside the black hole?", not with whether it's there at all or not (which isn't disputed - we see stuff fall in, so it's gotta go _somewhere_ and it isn't in our observable part anymore). In addition, because of the nature of a black hole, how would an experiment trying to test any theory about what happens in a black hole even work? As far as I'm aware, we don't know of any mechanism where stuff inside the black hole affects stuff outside the black hole (hawking radiation doesn't, as far as I'm aware, explain _how_ the spontaneous quantum fluctuations come to be - they're just theorized to happen to satisfy the equivalence principle near the event horizon), but that's exactly what we'd need to confirm or deny anything about whatever happens past the event horizon.
On top of this, just the existence of hawking radiation means black holes vanish over time - but without us being able to say that e.g. a book with mass 1kg or a bag of sugar with mass 1kg was once thrown in. We can't distinguish the two cases - the information (as far as we know today) is lost.