There are two separate things here, identity portability and data portability. If your identity is portable (say a key pair) but the service hosting the data goes down and you don't have a backup or there's no way to import the data to a new provider then you've got a problem. Similarly, if the service goes down and you do have a backup of your data and a way to import it to a new provider but your identity isn't portable (perhaps it was user@domain and you don't own the domain) you also have a problem in that case but it's a different problem.
And neither data nor identity is the same as account, at least the way I was using the words.