Occasionally I will make “hard” colour proofs when working on images destined for repro in books and magazines. (Physical proofing paper = hard, monitor proofing = soft)
These hard proofs replicate the limited range and look of the 4 process colours (Cyan Magenta, Yellow, and black).
In order that it better matches the paper it will be printed on I do my hard proofs on Epson Fogra certified paper. This paper has a white point that matches the ISO Coated v2 (ECI) standard.
(Note that different proofing papers are required for printing to the different standards – eg: US, Japan etc)