Butterflies are basically the mascot of a certain kind of person, and holy shit do I feel this.

That is what is currently suspected of supermassive black holes at the center of galaxies

It's not just gravity stopping the signal. All directions in a black hole lead to the center, so the signal wouldn't be able to travel up the cable.

For that matter, the camera itself wouldn't be able to operate, and if it could, spacetime could be so warped that it only sees the back of itself.

Spacetime is warped inside the event horizon so that all vectors point to the center. Any signal attempting to leave would ultimately travel the wrong direction, even if by wire.

Additionally, time dilation would redshift any signal into complete obscurity even if it could leave the event horizon.

Near a stellar black hole, gravitational sheering would sever any cable.

Near a supermassive black hole, things get... weird. From a distance the event horizon seems like a pretty solid line, but the closer you get the harder it is to see exactly where it is as spacetime starts to stretch around you. You might even end up inside the event horizon without even realizing it.