I also have this issue..
Currently any site that I sign up to Enpass does not save the initial password (including this one that I just tried). I have to log out and then back in for it to do so.
The main issue is once you have logged out you are unable to log back in once you log out as your password is NOT saved, thus leaving you to a password recovery.
It is not very convenient you have to paste the password into notepad or the likes just to make sure you have it saved.
I am coming over from Dashlane which does this with very minimal effort.
Cheers