Are typical black hole microstates horizonless geometries?

For the D1-D5-P black hole with $S = 2 \pi \sqrt{N1 N5 N_P}$, determine whether typical microstates are described by horizonless smooth or stringy geometries that differ from the black hole at the horizon scale. Known supergravity families (superstrata) have entropy growing parametrically slower than $S$. An answer is a count showing whether horizonless solutions, including string-scale ones, saturate $S$, or a proof that typical states are indistinguishable from the black hole outside a Planck-scale or string-scale neighborhood of the horizon.

A microstate count in string theory resolving how many D1-D5-P states have horizon-scale geometric structure.