Yes, that is a fully valid wish. That is also one of my goals, and for a l-o-n-g time I have been playing with several interesting experiments. In case you have missed some, here are two of them:
If you take a photo of something that is RGB xyz, of course you would like to see RGB xyz on the monitor, as well as on print – irrespective of paper quality (ha!).
However, all of that is simply not possible (see paper gamut in my first link above)…