Attributing the ‘quality‘ differences in two raw converters rendering as being solely due to the differences in profiles would be hardly scientific.
I understand that. From an empirical end-user perspective though, when I use the generic profile supplied with C1 than the difference in the rendering is a lot less noticeable. In fact, with a little bit o tweaking, I'll get very similar results. In these repeated exercises though, I try to compare them using one and the same cc24 image to create a standard profiles for each of the raw converters, once ICC and once DCP. The resulting differences in the distribution of tones is, even with a lot of work, not deniable (you'd have to get out of the raw converter to get closer). The point is that, this particular difference between the raw converters is not as noticeable with the canned profiles.
Also, the same way you would use the Colorchecker passport, you can do icc profiles for each lighting condition outdoors.
EDIT: added illustration.