I actually prefer the C1 hues (maybe not so much the saturation), especially the blues of the skies – the standard matrix profile has too much magenta in the blues for me, which is my pet-peeve with input profiles.
Did you use any base curve? If so, I think it might be a bit too contrasty for the C1 profile, and since the base curve module operates in RGB values, this causes the slight oversaturation. The darks/shadows are possibly too compressed/blocked and could use some lightening, I think.
An interesting point about the noise difference – I wonder if it’s because the standard profile is of a matrix-type, and the C1 profile is a LUT one?