The mass of what's sucked in would determine the mass of the black hole (well mass and energy), the singularity describes the geometry of the black hole but the mass could still be anything, and the event horizon is going to be determined by (among other things) the mass.
Ethan kind of eludes to a related point in his QAs too when he talks about black holes and the higgs field. A singularity is a theoretical thing; more just an indication that our physics understanding breaks down. So when a solution to an equation says "zero size infinite density" it means we need a better equation to describe reality and it's probably not describing an actual physical thing.
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Uncertainty is an uncomfortable position.
But certainty is an absurd one.
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