fromNULL passwords
Check that all accounts use a password for authentication. Don't allow any account to have a null or blank password. Setting up key pairs is a good defense against null passwords. Remove any instances of the "nullok" option in/etc/pam.d/system-authand/etc/pam.d/password-authto prevent logins with empty passwords.
Sysadmin security: 8 Linux lockdown controls
How to lock down your Linux system from unwanted access locally and across the network.
Looks like the problem is not new to others.
Question is if this is a "well known problem" that can be coped with a hardened configuration by a responsible sysadmin?