Many apps on my Android device routinely send requests to edge-star-.facebook.com even when I don't use facebook login. Are these ad related requests?
And a lot of stuff is not related to FB Login.
Facebook launched Facebook Off Activity a while ago https://news.ycombinator.com/item?id=22178917
You can go to your profile, and check which third parties, or advertisers uploaded contact data of you, download backup data to see in json files which apps what sent about you ("App activated", "Made some purchase").