For what it's worth, I have the same issue in multiple browsers (Safari on my iMac, Chrome on my work PC), and ticking the "stay logged in" button does nothing. Definitely seems like the logout timing is set way too aggressively somewhere in the forum server settings...
Same here, across multiple browsers/computers. I can log in on the home page, then, when it finishes the "return to the previous page after login", it still doesn't show me as logged in. I have to click on the link that says "click here if your browser times out and doesn't return you to previous page" or something similar, before the timeout completes, and then I will stay logged in.