I have always wanted to try setting up a low-tech version of this, where instead of using a light-field display, you assume that you have only one viewer and you simply render the correct point of view on the screen. This is the same technique used to shoot The Mandalorian [1], but in this case we're only trying to make a "pane of glass" so an ordinary high-res TV will do. With both participants positioned correctly, you will get correct accommodation, vergence, and parallax depth cues---only stereopsis is missing, and stereopsis is much less important than people think. 1/3 of people don't even have good stereo vision! [2]

As long as you're willing to give up stereopsis, and you have only 1 viewer on each side, I think you could accomplish this type of immersive telepresence with an ordinary TV + software.

[1] https://www.youtube.com/watch?v=Ufp8weYYDE8 [2] https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4934608/