I first thought that too.and tried another browser ( got that message in Vivaldi first,than tried IE) Same result.
Here are some old articles about that:
https://www.recode.net/2017/3/24/15054954/google-reassures-u...
http://www.zdnet.com/article/google-heres-why-you-shouldnt-f...
Why would you say not?
I'm not trying to be rude or anything. Let's have a discussion, and if I can convince you to do use one, I'd have made one more person safer.
[1] I made this for a dead simple way to make passphrases: https://amingilani.github.io/password-maker/
Even if in theorie they are safe. Even the slight chance that a single failure could lead to all my passwords getting in the wrong hands at once just is to scary.
EDITED to add: I am using Password Safe which is recommended by Bruce Schneier. What you describe would be an absolute noob mistake. He would be pretty embarrassed if you were right.
1. Are all your passwords unique?
2. If I discovered some of your passwords, will the rest of your passwords stay secure?
3. Were all your passwords created using at least 32 bits of entropy?
4. Are your passwords stored only in encrypted form?
5. Do you perfectly remember every single password you’ve used when signing up?
6. Do you turn up positive for a password leak at this website?
If you answer "no" to any of these questions, you'll benefit from a password manager.
About storing passwords, I use LastPass and they use client-side encryption[1], which means even they don't have the decryption key to read my passwords. So, you'll be fine as long as you have a secure passphrase and 2FA :)
https://lastpass.com/support.php?cmd=showfaq&id=6926
[1]: Please skip to "Strategy No. 1: Proper Password Management" @ https://www.toptal.com/remote/best-security-practices-for-re...
And nobody hacks into your machine...
Some believe that the "something you know" should be stored inside your head. I personally use a password manager, but can understand the viewpoint.
Password managers lie somewhere between 2 different factors, "have" (the password DB) and "know" (only your master password). For those who use a laptop as their 2nd factor (yubikey plugged into a USB port, a token on the system itself) and get their laptop stolen, a compromise of the password safe could result in both factors being breached.
trusting your bank / email and other important password is an unneeded risk.
Your turn why should I rely on someone and their servers to save my passwords why a good password and 2fa will protect my account?