Here's what happens if you change perlin into ridges, and lift them again. Although snow does blow up in ridges, this is too much. But the wetness kind of succeeded, although I admit it's difficult to get it right. A painted shader mask would be a lot easier I guess.
On the other machine the next one is rendering, now with the extra water shader (depressions, no fuzzy zone and slight smoothing) before the snow, hence it only occurs on the rocky soil.
By the way, Martin, an extra compute terrain doesn't work as it changes the terrain, even with patch=1.