So what is the definition of a real hologram? Lots of points of light in 3D outside of the media projecting it seems like exactly what I’d expect for a hologram.
For it to be a hologram, you'd need to be able to reproduce arbitrary wavefronts in real time. This gives you the ability to have features like occlusion, which you don't have with a "points of light" display. I.e., everything will appear translucent.