There are a bunch of regions that don't use much ghee, but instead use mustard or coconut oil.
My point is that generalizing Indian vegetarianism as being void of animal fat isn't right. Wiki has this to say about it (without source mind you):
In India, vegetarianism is usually synonymous with lacto vegetarianism
I understand that point. My point is that it is possible to do well without animal products. I am not saying people should do that but there are plenty of examples where it works.