OK, so I had misundertood.
I had understood that if you were using the new “modern” approach, color calibration would completly substitute the white balance old module.
But I understand well, white balance is still needed and prior to color calibration, at least to do camera RGB balancing (apply the correct coefficients to your camera in a standard situation).
Then you can use the color calibration to adjust colors and adapt them to different light situations or even different lights in the scene.
Well, I have to take it easy and try it in my photos, I usually do not need a precise reproduction of colors, but I like them to seem natural.
I can see now that when you use the modern adjustment, the white balance changes from “as shot” to a neutral profile.
My photo gets quite yellowish, but I can return it to a similar look changing the illuminant to “as in original shot” (the selected illuminant was Daylight).
In this case the Bradford lineal and CAT16 give me similar results.
Why “as shot” illuminant is not taken by default?
For a newbye, I think it would give him results more close to execpet, similar to the OOC jpeg.