Why the eye does not focus off-screen when looking at an autostereoscopic display

In principle autostereoscopic images are real three dimensional images, so it should be possible for an autosterescopic display to project the image of a point source of light as if it were somewhere other than on the surface of the screen. The display can do this by projecting rays of light so that they all converge through the image of the point source. Continuing in their path, the rays will then all diverge from the point source of light, and if, for example, a camera with an automatic optical focusing system is pointed at the display, the camera will indeed focus on the waist of the optical bundle of rays as if this were a point source of light.

However the pupil of the eye has an average diameter of 3 mm which is much smaller than the stop of a conventional camera, and if the diameter of the rays is for example 1mm, then only three rays span the diamater of the eye's pupil.