For Facebook they do. They have a tight partnership. If Spotify did something wrong with their Facebook app, Facebook would have removed their app a long time ago.
24 karma · joined February 22, 2013
The username field says "Facebook Email or Spotify Username". So when you type an email, you log in using a Facebook account.
It's not that hard to understand. By the way, that account you made on the sign up page is still unused: you logged in using a Facebook account, which is a different account from the one you just registered, so you have two spotify users now - one you signed up w/o Facebook and one you actually logged into.