@zatnosk Roehrs & Boetsch seems to already be experimenting with this
I think it's definitely something that could work, especially with curated exhibitions around a certain theme, though perhaps they might struggle with getting people to visit a gallery of works that won't look that different in the gallery compared to on their own screens.
Presenting new, previously unpublished, works on local artists might help make it work as a concept.
As a teenager I certainly enjoyed the experience of seeing a print of one of my digital paintings in an actual artgallery, even though it was just among other participants in the #Kunstbende youth art competition.
Not just that print was on display, but also the #GFXZone Flash app I contributed to the "Digital Media" part of the competition, which actually displayed some of my other digital drawings, along with some of my poems if memory serves me well, was accessible from a computer in kiosk mode.