Using the browser's password manager is dumb anyways. It's much better to use 1Password, Lastpass, Dashlane, etc...
Doesn't Chrome send all your passwords to Google's central servers for storage? The same Google who have been caught several times storing passwords in plain text? Terrible idea to trust Google with your security.
But if you are on an internet cafe, It is better for the user to not save their password because like on the post, that way can see your password. So, if you're logging in on other device, better make sure that you don't save or click that "Remember your password".
Please read the other posts in the thread. Simply not saving your password by no means protects you if you choose to log in from a public computer. The public computer could have any amount of monitoring or surveillance software or hardware installed which can steal your passwords, and you also have to completely trust that the internet connection isn't also being monitored or otherwise compromised.