With the upgrade to 1.3.1 seems like password field prevents user from moving on from edit profile page when checking for profile completeness is turned on.
I redirect all users to complete their profile if not all fields are properly populated, however, after 1.3.1 it is not possible to move away from this page.
when i enable this option to show message on top of the page, it says my profile is 95% complete.
The only "empty" field is password field, which is anyway expected to be visually "empty".
I think there you should make an exception in the script that checks for completed fields and exclude name, username, email and password field from checking as these 4 fields are anyway mandatory by Joomla.