Given the amount of mass typically involved, probably just a mathematical curiosity, but if that's the only way we can figure out to try to understand the inside, maybe we'll eventually be able to generate microblackholes from tiny amounts of matter, collect the hawking radiation and study those in this manner (they'd evaporate pretty quickly).

Edit: I forgot to add in my original post that there's also just the possibility that the mechanism by which this paradox is resolved still hides the inside.