This evening I did a couple of experiments at home with REAL milk to better understand how its SSS work.
Am I a physicist or not, after all ?
I tried to put on a similar lighting condition as in the render. What I understood (maybe it is obvious to you) is that the SSS depends critically on the kind of surfaces which surrounds the sample. In this case -as light is coming from above- the floor properties are critical.
Indeed, a great part of the light travels unperturbed in the milk and reaches the floor, where it is reflected (diffused) or absorbed in different proportions depending on the material.
The reflected part bounces back in the milk, where it is scattered again. It is like having two light sources: one from above and a weaker one from below.
You can see it clearly in the two pictures: in the first the floor was white paper. You see that milk looks almost opaque (as in the render).
In the second the floor is black (a bit reflecting) paper. You see that in this case only direct light from above is scattered, and the bottom part of the milk is almost black. Here SSS is much clearer!
I would try this next in INDIGO...
Of course this concept applies whenever you have SSS.
For the "smoothing normals" story: I am using CINEMA4d. Thanks for help.