[ollysb]

It seems like it should be a setting on the browser i.e. if it's your own personal laptop then you probably want to always be remembered and if it's an internet cafe then the browser should never remember your password. Maybe the browser could send a header indicating the preference(it could always be ignored - for bank websites etc).

[movingahead]

This is one of the more ideal scenarios. Aren't browsers doing something similar when they send a "Do not Track header"? I can think of other instances where this kind of browser configuration can be very useful.

[isleyaardvark]

I don't see how that helps things. Instead of "remember to log out after using a public computer", then you would have to "remember how to find the settings for every browser to check if the internet cafe set the right 'remembered' setting or just still remember to always log out at public computers".