I see, i misunderstood the original question, you say:
"I couldn't log out even if I tried."
That is the way auto login is supposed to work when you go to the login page, it automatically logs you in and goes to the success page.
for your client where the auto login does not appear to work, most likely, they have a browser setting in place that is preventing cookies from being set. The Auto login relies on cookies to save the selection and the username / password and perform the login.
as for the email not showing up: on your login pages, there are 2 behaviors for the Security Assist Authenticate user, one that is used when the login form is submitted, and the other is used for auto login.
in the first, you have the success and failure redirects set, but in the second, there are no success and failure urls, success and failure for the second behavior should be the same as for the first.
