Comment by pdonis

> A future light cone is a spherical (Lorentz transformations count? idk kinda breaks the analogy) volume of space*

No, it isn't. It's a 4-dimensional region of spacetime bounded by a null cone.

> Care to explain how?

What you think you know about all this is so far off base that I'm not sure where to start. Pretty much everything you've said has been wrong.

> Once you cross the event horizon, your time will end in that same point, regardless of your movement in space.

Wrong. The singularity is not a point. It's a spacelike line. Different people that fall through the event horizon separately will not meet each other at the singularity. In fact they will not even be able to see each other reach the singularity.

> This projection would be an ever-narrowing cone.

Wrong.

> I am wondering where my mental model is imprecise

It's not just "imprecise", it's wrong, pretty much everywhere. I would strongly suggest taking the time to look at some spacetime diagrams--the best ones would be a diagram in Kruskal coordinates or a Penrose diagram.