I've seen two picture technologies that stand out from the rest.
35mm stereoscopic pictures on 100ASA slide film, i.e. about 5000x3000 pixels per eye. It is necessary to have the maximum possible depth of field, since people's eyes wander around the scene scene looking for details. If they can't focus on the details, it is uncomfortable.
Showscan movies, which I saw in the late 80s. They were much superior to the IMAX movies in the neighbouring theatre, and I saw the Showscan movies a several times. It is difficult to determine the resolution, but it was a 65mm image on 700 film, projected at 60fps. As far as I can tell, that equates to a resolution of around 5000x2500 pixels, but the high frame rate will improve the apparent resolution.
Thus, without experiencing the pictures myself, I would expect that 5k*3k is worthwhile, and that 60fps is definitely preferable for moving pictures.
If you want to, say, have multiple documents visible simultaneously even though you can only perceive one at any given instant, then higher resolution might be useful.