I'm not sure what's at the root of your skepticism, but this looks like a continuation and expansion of recent research into what black holes would actually look like. What happens to the light "seen" by the theoretical camera is just a matter of taking the math as far as it will go (the job of the
Goddard "Discover" supercomputer mentioned toward the end of the video (
additional info here).
The effects of the forces at work in & around supermassive black holes are far more powerful than most human experience allows us to instinctively comprehend, so it can look mind-bendingly weird, but the physics behind it are sound. In a very basic summary, the light that gets trapped by a black hole doesn't just go straight into it; The gravity of a black hole is so strong, some of the photons (light particles) get spun
around the black hole several times, and compressed ever more tightly together, leading to a bright, built-up concentration of light that becomes part of the black hole's accretion disk. (More about
gravitational lensing and
accretion disks.) Someone (or a camera) falling into the black hole would be able to see these effects overhead, which is why it looks like space, and a bright line, loops around the camera's view several times; That's exactly what the photons are doing; getting "squeezed" together, and going around the black hole.
A lot of these developments got a nice boost a few years ago, when Christopher Nolan made the movie
Insterstellar, and sought out physicists to consult with the goal of
depicting a black hole more accurately than the "bathtub drain in space" so many people think of thanks to earlier TV & movies. (While dramatic, and easy for general audiences to relate to, that is very much
not how black holes work.)
Once the
Event Horizon Telescope array started getting data that allowed for accurate measurement and calculation, it turned out that Nolan, Thorne, & co. were actually proven right:
So for whatever it's worth, while you would definitely
not want to try flying into a black hole in real life, I think we can safely take the NASA video as legitimate work, and an accurate visualization.
