The camera doesn’t capture a “scene.” It’s all just electrical impulses on a CCD. You the perform extensive processing to turn those impulses into something approximating that someone might see. It doesn’t seem a big stretch to, while you’re at it, interpret the signals in a way that reflects where the person would actually be looking.

“Emotional truth” is the wrong phrase. It’s the actual truth—the person on the other side is looking at your eyes.

The real issue is that the processing isn’t sophisticated enough. Instead of just moving the eyes, it should calculate what the camera would show if it were located in the screen.