Gravitational singularity

Is it possible that the gravitational singularity actually turns out to be a genuine singularity once we have a true theory of quantum gravity in place. There is a lot of talk about singularity but the way it appears, most experts are attempting to ‘purge’ the singularity (Fuzz ball for instance) than actually considering the possibility that it can happen. Why hasn’t it ever been considered that singularities don’t always have to be mathematical artifacts, waiting to be swept under the rug?