Not so fast. Black holes have a singularity in the middle, and an event horizon around them. There is no singularity at the event horizon, and that is all that we can see..

There might be naked singularities in case of a rapidly rotating black hole. The singularity would have a donut shape and might be outside of the event horizon. https://en.wikipedia.org/wiki/Naked_singularity

Of course, this is very theoretical and we don't actually expect that to exist.

Huh, I thought that naked singularities were thought to not exist. But apparently in 2018 someone found a case where they could.

Thanks!

You move asymptotically slower from the point of view of the particle falling in the black hole. From outside the black hole, the falling particle should fall into the black hole at a speed close to the speed of light. (but we can't observe that from the outside)

The image an outsider would see "printed" on the black hole has nothing to do with where the falling particle is.