That would be very difficult Ben. When you get into camera profiles, you usually battle between generating perfect color and generating perfectly neutral grays. The fact that differing light sources alter these relationships makes this a continually moving target. IOW, getting both at the same time is almost impossible, so you need to pick your poison so to speak. The good news is you can get them to be very close at the same time, at least under known or stable lighting; the bad news is if you need one to be "perfect" the other likely won't be, so you need to choose.
The other part to a profile is the response curve. This determines total DR as well as overall and local contrasts in addition to the look to or balance of the total range of tones. Hence the need for different profiles specifically targeted to different results.
If you open an image image in C1 then cycle through these profile options, you will see only subtle differences --- IOW they are all very good, just optimized toward one goal or another. Moreover, some of the differences are so subtle as they'll go unseen in an sRGB web jpeg...
Cheers,