No, the intended process in the Editor panel with the actual behavior (unfinished, I know, but we have only two hands and spare time) is :
- to set the the monitor profile to your monitor profile (this will never change unless your moving the editor to a secondary monitor),
- set the output profile to your print shop’s profile,
- enable soft-proofing (don’t forget the gamut check feature)
- adjust your image for printing to your liking
- switch back output profile to sRGB (with embedded sRGB profile, no the “NoICM” entry) ; maybe AdobeRGB is better, or another image output profile, I won’t enter in this debate
- process your image
5 and 6 can easily be done all file at once in the File Browser, but fine adjustments are done on a per image in the Editor, of course.