Once the site you sign into has your identity, the protocol can't stop them announcing to the world that you have signed in. But it doesn't require the ID provider to know where you're signing in.
Also, are you sure it's not from gravatar? In my case, it's the same image as the google profile photo.
I didn't remember setting up a Gravatar for my Gmail address, but it turns out I did, so yes, it's entirely possible it's from Gravatar. I feel better about that, although I guess Gravatar can track me now.
Also, are you sure it's not from gravatar? In my case, it's the same image as the google profile photo.