When looking at this, I am a bit confused:
In the combined flair, you see the hash of my old email address. Above (and this holds for every stackexchange site I have an account for), you see the hash of my "new" email address, which I changed about 3 weeks ago. When I did so, I changed it for StackOverflow and then chose "Copy StackOverflow profile to all Stack Exchange accounts". Subsequently, all other Stack Exchange accounts also showed the new image, but not the combined flair. What do I have to do to change the combined flair too? Is this a bug?