Especially for guests viewing the page. No one really needs to know that a random person loaded the page. If there is some kind of friend/follow functionality for logged in users, and they want to enable notifications for them, ok, but that’s about as far as it should ever go.
Yes, I found a remember me button on an external login page. There was a base64 encoded cookie but not in plain text. It was JSON string, includes some AES like encryption data, and expiry time.
In Firefox, I would like to see the workspace feature which is already exist in Opera. It allows to you separate tabs as groups like Work, Project, Music etc..
This is why I avoid using important services (i.e. e-mail accounts, your backups, any digital products) in the one place. Just a little violate and then lose access to all of them. It can happen anytime, shouldn't be left to chance.