It could. but no one knows because you can't see into a black hole. As an external observer, the only thing you know about a black hole is its mass, its charge and its spin.
As for becoming a UTS, the nearest thing to that in this universe (not a singularity) is a neutron star. That is what occurs in stellar collapse that doesn't quite have the mass to become a singularity (escape velocity just shy of the speed of light).
In a neutron star the atomic electronic field has collapsed into the nucleus as the result of gravity and mass. This to me is as near you can get to a monolithic undifferentiated terminal state.
As for Black Holes and Frequently Asked questions try this
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