OK. I have a bit more information. I am still seeing a problem, but have figured out why. The problem appears whenever a user has not completed the login / registration information correctly. It looks like the problem is that error messages are not displaying. That makes it appear that you are stuck on the page, but it's because there is something wrong with the entries, the user just doesn't know it.
I was able to replicate the problem by logging in with an incorrect username / password combination, or by attempting to create a new registration using my already registered email address, or submitting the form with required fields left blank. In all cases, the login / registration page simply refreshes, with no error message displayed.
Cheers,
Mike