It would be an awesome feature for scammer and phishers. Now with a single click you can phish all the accounts at the same time instead of a single one. Much more productivity
Firefox
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I think that this would be a security nightmare and would require a massive redesign for session cookies.
If anything they should be trying to lock cookies and sites assorted data to the specific device used to log in.
At the moment it is very easy for a criminal (once they have gained access) to nab your browser's entire profile and load it up on their computer giving them access to everything logged in on that profile.
What you are suggesting is something that would make the criminals jobs easier .
No, logins should be harder in order to be secure. Hence the addition of 2FA (which is also incompatible with your proposal).
As developers, we strive to make things more secure, not less, and unfortunately, good security always comes with the trade-off of less convenience for the user (larger entropy passwords, session expiration, captchas, etc).
Now, of course, it depends on how sensible the data in that account is. I wouldn't want this for my email account, for example, or online password manager, which are the entry gates to all my other accounts. The Kagi search engine offers the possibility to login on another device via a session URL which you can copy-paste. And this is fine, if the site / app clearly states the dangers, implemented it securely, tracks and lists the sessions and allows you to invalidate a session for all devices, and you are fine with potentially disclosing the data for that account (forgetting to log out, or disclose the session URL somewhere) - which is not much, as they don't log the searches, only the daily counts. And their use-case makes sense, people aren't used to authenticating in order to search something on the internet.
So, this should be an optional feature offering from the website / app, not built-in in the browser which would make it trivial to be abused by anyone.
Wouldn’t a password manager solve your problem?
Does Firefox Sync do this?