Photography is the name of a predefined calibration target in Color-Navigator-6 which I have used to create the profile.
What happens when you assign (in Photoshop) your Xrite i1Display profile to your screengrab that has the embedded "Photography" profile? There should be no change to the preview if both "Photography" and your custom i1Display profile are one and the same profile your OS is using (which there can only be one) as well as Photoshop for delivering correct looking color managed previews. A predefined calibration target that is separate from an ICC i1Display profile is very unusual behavior for screengrabs on Mac OS X.
Mac OS X (unless they've changed things with screengrabs) always embeds (on my system) my i1Display ICC profile that has a custom name I gave it at the end of the calibration/profiling process. There's no option to assign any other profile be it a predefined calibration target or Standard RGB.
Whatever display profile that occupies the video card (and there can only be one) is the one Photoshop and all other color managed apps access to generate color managed previews. You are using two profiles in your system.
Your "Photography" profile just adds confusion in sorting this out from my experience. If EIZO has some different kind of routine for dealing with display profiles then this is beyond what I can help you with.
Below is what I get from your embedded "Photography" screengrab using both Colorsync's "Show Info" and "Extract Profile" scripts. Is Photography a REAL ICC profile?