Thierry,
I'm not sure which Eizo monitor you have, as I guess they may vary.
I have the CS240. That has preset modes like "sRGB", "Adobe RGB", "Paper" and "Custom". In addition there are three modes that can be programmed: CAL1, CAL2 and CAL3. When I used the supplied ColorNavigator 6 software (with an i1 Display Pro) then when it creates a profile, it automatically loads the LUT part into CAL1. I've created 4 or 5 different targets in ColorNavigator, and when I select one, it automatically reloads the CAL1 preset with the selected profile, and alters the default monitor profile for that monitor in Windows to the selected profile.
I can do this either by running ColorNavigator, or there's a ColorNavigator icon in the notification area, and when you click that, it lists the targets, and with a single click it changes the LUT loaded into the monitor CAL1 and changes the default Windows monitor profile.
In other words - I don't need to reboot Windows to change the profile. Note that programs that use the profile (browsers, Photoshop, Lightroom...) may not notice the change of profile, as they may look up the current profile only when they start. In other words, I might need to restart individual programs to make them notice the change of profile.
Does this help, or are you looking for something else (or maybe ColorNavigator6 doesn't work with your monitor).