I personally dislike the functionality but I see it more as a "regression to the mean". Most people on LinkedIn aren't technologically savvy such that they understand that "signing out" means deleting or otherwise invalidating a browser cookie. To many people, "signing out" is the same thing as closing the browser tab, and such people are the intended audience for "remember me and sign out".

this is disingenuous at best.. the same sort of "they need our help" front to lots of other problematic behaviors.. guillable-confused-unskilled people are not the reason to break secure agreements, so don't say it is