I would enjoy seeing a status recognition showing login state. Nothing flamboyant required. Possibly a circle of color before the Login/Logout text. Standard being green/red, but with the color scheme of the site possibly red for logged and grey for logged out. I understand that it should be obvious with the word showing the opposite of my current state but when looking in the middle of a page having a color cue is innately easier and faster than being required to focus in the corner of a page and check a literal string to get that same knowledge.
As of now I drop cookies unknowingly but systematically, so when killing the browser, leaving the site, and other automated clearings happen I get logged out. As a habit I prefer never to be logged out but it rather happens in the current state of web technology, which is fine and efficient just not conducive to my preference of use. And constantly checking before, after, and sometimes during sessions is counterproductive.