Not all "camera profiles" used by raw converters are scene referred but should be
. Some folks do (still
) build output referred profiles from rendered raw. The Adobe paper is a bit dated but in that respect still pertinent.
But this doesn’t seem to help the OP. Examine his last question about assigning a working space which would be on output referred data. What I
think he needs, again depending on the converter, how the profiles are built etc, is a reference and then the results to produce a dE report. But for that to be ‘useful’ in terms of accuracy, indeed the data (and profile) must be scene referred. So again, this goes back to the
nearly impossible comment depending again on a lot of the OP’s workflow constraints or lack thereof. There’s a target to build the profile, there’s an illuminant used to capture it. Is there Lab values available of this data? What then is used with the profile upon the raw data to produce what? A rendered image in what color space that can be compared (Lab in vs. Lab out)?
I’d submit this is a nasty and mostly unnecessary rabbit hole. I’d submit that raw converters produce rendered color based on the desires of the person rendering it; subjective. I’d submit accuracy isn’t useful expect in very, very rare conditions (I want to colorimetrically match the original scene and all such scenes). I’d submit outside of this need, build a suite of profiles, apply them to a group of representative images and pick the one who’s rendering without any other adjustments appear ‘best’ and move on.