I was on induction for about 4 months. I really don't think the induction was the culprit (I was taking vitamins), but I think it is the shock to your system going from burning carbs to burning fats. Any stress on your system can cause hair loss, this way of eating is just another stress. As you've probably read, the hair loss usually comes several months after the initial stessor. So right now if you stopped this diet, it wouldn't matter, you'd still lose some more hair.

I cam to the conclusion that I'd rather have thin shorter hair, as long as I would be heathier and live longer in the long run.