I think you explain it pretty well, but one thing to add. Due to the General Relativity and thus spacetime it is actually not directions that all point toward the singularity, but as soon as you cross the event horizon all of your future becomes the Singularity, not as a point in space, but a point in time
https://plato.stanford.edu/entries/spacetime-singularities/lightcone.html
This points at that, you would also need to be able to travel faster than light and that would make you time travel backwards in time
I feel like there is a misunderstanding in this thread.
The universe is described by math. Math itself is also very fundamental though.
However even the Singularities are disputed and generally not liked by physicist. We try to find other explanations for how black holes work (lots of papers on this). Moreover, we never really have a singularity, but ringularities, as all black holes rotate changing the singularity to a singularity (they probably also have a charge but that is a different matter).
And on the other hand, if you are a follower of the simulation argument (I know a few physicists that are) there are also counter arguments against this (which I believe are more likely).
https://en.m.wikipedia.org/wiki/Simulation_hypothesis