There are many other options for password management that are very similar.
Writing them down in a notebook next to your computer. A homebrew system like e-mailing GPG-encrypted files to yourself. Your browser's built in password saving and sync features. A password-protected Excel spreadsheet on your dropbox.
Compared to a notebook, I can access my passwords from my phone if the need arises, and they're encrypted and backed up should I lose my phone.
Compared to a homebrew system, someone else has done the work and made a cross-platform system with nice browser extensions, sensible defaults, and so on.
Compared to my browser's sync features, there's peace of mind because it's not a free feature from a corporation famous for nonexistent customer service and sketchy tracking practices.
Compared to dropbox, the price is trivial (as they only have to store a few kilobytes of data) and it's focused on security.
Writing them down in a notebook next to your computer. A homebrew system like e-mailing GPG-encrypted files to yourself. Your browser's built in password saving and sync features. A password-protected Excel spreadsheet on your dropbox.
Compared to a notebook, I can access my passwords from my phone if the need arises, and they're encrypted and backed up should I lose my phone.
Compared to a homebrew system, someone else has done the work and made a cross-platform system with nice browser extensions, sensible defaults, and so on.
Compared to my browser's sync features, there's peace of mind because it's not a free feature from a corporation famous for nonexistent customer service and sketchy tracking practices.
Compared to dropbox, the price is trivial (as they only have to store a few kilobytes of data) and it's focused on security.