Yes, I had both "simulate paper color" and "simulate black ink" checked.
I noticed that "simulate paper color" makes images looks cooler - more than the original edit. With that checked off I could adjust for the warming of the paper.
I'd like to put this out to everybody: do you check or not check "simulate paper color"?
Could you take a photo of this print and post along side the original to let us know what you mean by greens turning warm.
Some greens can be out of gamut to the point they are not recoverable even through softproofing edits. We need to see if it's a gamut issue. Below is the original file on the left a picture of the print on the right off my Epson "All In One" just using Printer Manages Color. I get the same warm greens sending sRGB to my local Noritsu minilab.
The print on the right is lit under (2) 5000K 18" T8 flotubes.