My regular D800e prints on Moab Entrada Natural paper from my Epson 3800 are pretty close but tend to run just a bit yellow, whether looked at with or without soft proofing. I assume I want to make the monitor look like the print. Eric
If there is nothing wrong with your profile and your prints come out a bit yellow, that may be the way white appears on that paper. When you say this happens with or without softproofing you do not mention whether you then adjust your softproofed image to compensate as well as possible to make up for the characteristics of the paper. If you don't do that, you are not utilizing the softproofing capabilities.
The idea is not to make the monitor look like the print, but to have a well calibrated and profiled monitor show you 1) the most accurate standard rendition of the colors in your image as you optimize the image, and then, 2) a softproofed view of your image showing you how it will print on the given paper and printer, which you then adjust as well as possible to *make the print look like what you see on the monitor.*