Just to expand a bit on what's been said: So long as the proofing stock isn't dramatically shinier or duller than the target press substrate, abs. colorimetric rendering will allow you to simulate the press paper color. Be sure that the source/reference profile is correct for the press and paper type bing simulated It is normal to have to edit the white point of the reference profile for a good match on paper color as most press papers aren't precisely GRACoL, SWOP 3, etc. Your proofing system should be verified as hitting the numbers for the chosen pres reference; otherwise the proof is just another moving target. You can buy standalone apps for this.
As for the press side, botas has it exactly right: Don't let the press be the tail that wags the dog. It should be run to the numbers, and only slight tweaking should be required to get very close to the proofs, again assuming the proof can be verified as accurate to the relevant standard and reference profile.
Good luck,
Mike Strickler
Certified EFI Colorproof installer and trainer
Idealliance G7 Expert
MSP Graphic Services: Prepress and Color Management