The article makes the claim

> 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.

Citation most definitely needed. Perhaps the rationale is that the image is blurrier, or the contrast is worse, but both of those could easily be simulated by a monitor if you valued them.