> reflected image from a projector screen is gentler on the eyes than a projected one from a computer monitor
If true, that is a very strong reason. However, it strikes me as a [citation needed] or questionable extrapolation from indirect/diffuse room lighting or bias lighting.
Paper is more pleasant on the eyes for many reasons that don't apply to a reflective very bright projector screen.
* Better for say, photography
The muscles that contract or relax to change your lens shape (to focus your vision at different lengths) don't work linearly. Most of the work/tension of the lens is happening in the last meters range. Such that looking out at a 10m distance or 200m distance is a lot closer in muscle tone then the tension applied to focus between 10m and 0.05m.
Most likely what is happening is that the visual field workspace is equivalent but the eye strain is considerably reduced from being able to not look at something so close by such as the displays we use every day.
The theory in the article is that this is due to reflected vs direct light but I think this is a post rationalization derived from the author's experience. The perceived experience is that it is easier on the eyes. The reason is less clear.
Also, having to be in a dim room focusing on a brighter light is itself uncomfortable.
But in the case of a projector, the screen is lit by extra light; I'm not sure the situation is all that different from a regular monitor.