The skin is hidden in the "alternate" section of the patch file. I'm not 100% certain what this section is for, but given that most of the skins are related to skeletal/undead/corpse creatures, and the supplied skins tend to look non-skeletal, I suspect they're used for the Chinese market. So their undead don't look so skeletal etc. But that's purely a guess and it may be there for entirely different reasons.
In this case, the skin is just called CraneWhite, like our normal white crane. But it's quite a bit darker and has black eyes.
Here it is compared to the normal white:

Assuming I'm correct that the "alternate" folder is there as a cultural thing, I still have no idea why they'd need to make the white crane grey!