Could our simulation be running on a computer falling into a black hole?

What if our simulated universe isn’t running on a vast cosmic mainframe, but on a supercomputer aboard a random cargo ship? Imagine that ship has already crossed the event horizon of a black hole.

From our perspective inside the simulation, nothing changes. The computation continues as long as the hardware holds up. But from any “outside” point of view, time and causality would be radically distorted.

So here’s the question: if our simulation is tied to a physical machine that’s falling into a black hole, does that change how we should think about the stability of our reality? And would it even matter for us if the underlying computer is being spaghettified while we keep running?