Thank you, that makes more sense. I did run into this figure, and it does mention infinities in the caption. I’m not saying you are wrong by any means, but I continue to try and wrap my head around it:
Figure 13.30 The space distortion becomes more noticeable around increasingly larger masses. Once the mass density reaches a critical level, a black hole forms and the fabric of space-time is torn. The curvature of space is greatest at the surface of each of the first three objects shown and is finite. The curvature then decreases (not shown) to zero as you move to the center of the object. But the black hole is different. The curvature becomes infinite: The surface has collapsed to a singularity, and the cone extends to infinity. (Note: These diagrams are not to any scale.)
https://opentextbc.ca/universityphysicsv1openstax/chapter/13-8-einsteins-theory-of-gravity/