1. You need to define your needs. (what you're going to use your 'output' for, web viewing, print by inkjet, print at Costco, print at home, etc, etc)
2. Make a profile for your monitor which 'restricts' the monitor to your intended output, and then process your images for that output using this specific profile.
3. I didn't know SVII would make a profile for a non-NEC/SVII compatible LUT.. but if it does, you need to go to Control Panel/Color Management and then make sure the appropriate profiles are assigned to the corresponding monitors. It's that simple Your PA271a uses an internal LUT (internal to the monitor) so it doesn't use your video card LUT.. which leaves it free to run another monitor if you wish.
It's a pipe dream at best to think you can process your images on your monitor at the widest possible gamut and then have them work okay across the spectrum of mediums (web viewing, other monitors, prints, etc, etc). Unfortunately it doesn't work that way.. because that would certainly take the work out of color management.
I'm personally using "sRGB Emulation" (LCD2690uxi2) for processing images intended for web viewing, I modify sRGB Emulation for a max lum of 180 for general web surfing, I have a profile I use to make prints on my Epson inkjets, another profile for a Fuji Frontier system at the local photolab, another profile for the guy with the wide carriage inkjets who makes my largest prints, and so on and so on. And in case you're wondering, yes.. I often have several copies of the finished image, each labeled with it's intended output device, so that specific rendering of the image matches the output device as desired. If anyone has a better way of doing this I'm all ears..
The internal LUT monitors make possible, 1 workstation for many outputs. Before, you'd need one dedicated workstation for each output your serviced.