How else do you think you get stuck with recurring magazine charges for Highlights Magazine... Or is that just me? Anyway, when we do it you have total and utter control over the access third parties have.
Another way to look at it: What if Visa allowed you to see everyone that has had access to your billing information to revoke or change it as you pleased? We thought that'd be huge, especially because you, the consumer, aren't exposing personal information. Also, because 3rd parties aren't allowed to access or store your credentials, they don't have the liability of protecting it.
It's still permission oriented, like swiping, but centralized for independent control.
Go here to see what it will look like to manage those "permissions": http://www.dwolla.org/blog/wp-content/uploads/2011/06/Grid-c...