Probably not. It's hard to be certain about a classical object with a singularity (e.g. infinities) at the center, but, so far from gravitational wave observatories, we aren't seeing anything not predicted by classical bendy space GR.
It is hoped that if we can unify GR with quantum mechanics or string theory that the singularity will go away or look different. One of my favorite crazy ideas is fuzzballs [1].
More to the point, you don't need to know what's behind the horizon to do this kind of simulation. Plain GR is probably fine for everything outside macroscopic BH's. (But yes, fuzzballs are cool)
> In conclusion, I have tried to show that whatever the Penrose and Hawking
theorems prove has nothing to do with Physics breaking down and singularities
appearing. Of course, it is impossible to prove that these cannot exist, but it is
extremely unlikely and goes against known physics.
It is hoped that if we can unify GR with quantum mechanics or string theory that the singularity will go away or look different. One of my favorite crazy ideas is fuzzballs [1].
1. https://en.wikipedia.org/wiki/Fuzzball_(string_theory)