It's a bit of an improvement. On the other hand, if that one account is hacked, it gives access to everything else as well. Moreover, you can even get a list of applications/sites tied to that account. Which makes it arguably even less secure.

If we want people to be safer, we should learn them how to use a password manager to generate a unique password for every site.

And since access to passwords requires two things (the password to the password manager and the password database), it's arguably more secure, even with a weak password.