From what I’ve read online, it doesn’t appear to be a problem for most women – here are a couple hCG forum threads with ladies weighing in on the topic – they report not having any differences in their weight loss on P2 when getting their hair dyed:
Forum thread 1 – Coloring your hair
Forum thread 2 – Dyeing your hair
Forum thread 3 – Dyeing/Bleaching hair
One of the gals who was tracking her hCG journey on youtube back when I was on the diet shared her experience and she still lost .7 the day after her hair coloring job with stylist at a salon: