If the purpose is to identify you as a visitor to the site, then once they have identified you, that goal has been met. You're assuming that they must, in the

If the purpose is to identify you as a visitor to the site, then once they have identified you, that goal has been met. You're assuming that they must, in the future, again identify you: that is not at all necessary for e.g. spear phishing, blackmail, or other attacks.