Wonder if "catching up" would have unintended consequences?
If we forget colour for a moment, the issue becomes one of dynamic range, as pointed out earlier by Marcin. You can get the high end by shining brighter light on the print, while the low end is a question of blacker inks... but in any case, you're going to need to use special lighting to get high DR, maybe with compensation for non-flat lighting, as per Doug. The eventual logic of this is that the print becomes a sort of virtual image until it is placed under the specified lighting... a less extreme version of a digital image being displayed on a screen.
The same issues arise: cost of the viewing station vs cost of the screen, lack of portability, the need to "show" the images rather than just let the viewer wander from print to print. Do you remember how bad it was to be caught up in an enthusiastic photographer's bad slide show?
A question re the large digital frames/screens: do you have one for portrait and one for landscape, or do you compromise on showing one format in reduced size... or do you spin the display on the wall