"Multiview HPO" = multiview horizontal parallax only
The term means:
1) Several people watching the same TV set from different angles (e.g. - watching from the left, watching straight-on from the center, watching from the right) will perceive its footage as being 3D, and
2) The picture will only look 3D if the viewers' heads are level. If one of them tilted his head 90 degrees, so his ear was flat against his shoulder, the footage would look 2D instead of 3D.
Another important limitation of multiview HPO TVs is that they can't display 3D images to viewers at every possible angle. The multiview HPO TVs that exist today (in tech research labs) can only display it to a maximum of 9 - 16 people sitting in a semicircle in front of it.
https://vcg.seas.harvard.edu/publicatio ... lays/paper
That paper you cited predicts that the TVs will be commercially available around 2040. Looks like he predicts "volumetric 4K" TVs, which will be improved versions of the multiview HPOs, will be available by about 2060.
"Light field (full parallax)" will arrive in the 2080s. "Full parallax" probably means that, unlike the multiview HPO TVs, there will be no limit on how many viewers could watch one display and see 3D footage. You could have a semicircle of 360 viewers in front of one, each seeing a tiny, half-degree wide wedge of the TV, and all would see 3D objects.
I imagine "Holography," which will arrive around 2120, will be a 3D TV that has all the kinks worked out. As in, the tech couldn't get better than that.