The purpose of a viewing screen is to emulate the human vision system and make it easier for you to discern details. If you're going to go to print then you need a screen that can show you or emulate the approximate details of that print.
I used to work with screens that were calibrated for radiological purposes. Think medical. Their calibrations were ...
You have already pointed out the exact reason this wouldn't be worth the effort of implementing.
The slight tint shouldn't be noticeable.
The minute differences in brightness wouldn't be noticeable either.
For example, can you read the text in this image? It has two neighboring 8-bit grayscale values.
If you can see it, it isn't your eyes... your ...