@Aleph RawTherapee ships an ICC profile for the Canon EOS 5D, it also ships a DCP profile for it. Look in the iccprofiles\input and dccprofiles folders. If DPP ships 37 profiles for your camera model alone, these profiles likely include some effects baked into them. Unless you meant 37 profiles in total, not just for your camera.
Regardless, this exercise seems like a waste of time. The input profile’s job is to give accurate colors. It does. A different reading of WB temp and tint is not a problem.