Ok, that's correct, but still from either observer's perspective the other person is not traveling faster than the speed of light, due to relativity it is very different. It is true that they won't see each other though even if they enter at the same time, so long as the entry point is different, for reasons I don't really understand mathematically since I haven't actually taken GR but have to do with the geometry of the black hole and that the singularity doesn't actually appear small, it appears to grow larger and larger as you approach it paradoxically. So it's more like free falling onto a huge black planet would look like.

https://jila.colorado.edu/~ajsh/insidebh/schw.html

> Geometrical intuition, bolstered by pictures like this one would suggest that the center of the Schwarzschild black hole is a point. That intuition is misleading. If you and a friend fall into a black hole at the same time but at different locations (in latitude and longitude), you do not approach each other as you approach the singularity. Rather, the diverging tidal force channels the parts of your body along the inward radial direction. Far from meeting your friend at the singularity, you cannot even put out your arms to touch her.

> “The” singularity is not a point. Rather, it is a 3-dimensional spatial boundary where general relativity commits suicide. New physics, presumably quantum gravity in some form, must replace general relativity at singularities. What that new physics is remains a profound unanswered question.