I dont use color navigator normally, but I did once., but only with version 6, with my earlier CG243W. That is my disclaimer!
With presets 1-7 I am NOT sure if colornavigator can calibrate YOUR monitor internally using the EIZO inbuild LUTs. 2 through 7 are factor presets in any case.
The CAL presets definitely lets the colornavigator software drive the eizo onboard LUTs to calibrate monitor internally instead of using the video card.
On my CG243W I have to use CAL3 because that is hard wired to the Display port , CAL1, CAL2 are hardwired to vga and hdmi inputs.
I would only use preset 2 thru 7 for NON color managed apps. e.g. you have a JPG saved in AdobeRGB, and you want to use an app/computer combination that is NOT color managed.
i.e. using those presets WITHOUT an ICC file and CMM the display will better match the colorspace. Could be usefull, especially the sRGB profile if you using the monitor with computer/app that has no color management. I can think of other use cases, but for your application NO.
For your use case., IF using color naviator callibrate AND profile, (though I think software does not make any distinction) using one of the CAL options or all three. You could use more than one. I use two, one for working in the day, and one when my room is artificially lit. (different WP, brightness and gamma). But I achieve this slightly differently. I don’t use color navigator so have to use the Video card to do the calibration.
I also avoiding using gnome color manager, which for ME does NOT work. I just made sure darktable uses the profile.
ArgllCMS is much more powerfull than collornavigator, e.g. you can for example profile the printer you are using, but that is for another day!
I would stick with what your have for the moment, try and get your calibrate and profile for monitor done and working with Darktable. When you got that working, try to some softproofing. The supplied profile from the printer shop maybe helpfull. That profile your posted PSO Coated v3 ICC profile crashed my darktable when I tried to use for softproofing. When I tried it for the second window it just ignored it. If your set on using it , you could try using other tools. But maybe I downloaded the wrong one. The one I got was designed for CMYK input, I think.
EDIT. Actually the one I download is a device link profile, which my version of Darktable can’t use, and Rawtherepee its the same. See my other thread.