The "status blog" link goes to http://stackstatus.net, which was a valid link back when the status blog was a tumblr blog. But today stackstatus.net is some other thing, which only accepts HTTPS (reasonable), and just renders an error page unless you include the www subdomain (questionable and annoying, but who am I to judge). As a result, clicking the link just makes my browser spin for a while before it gives up and renders a connection timeout page.
These error pages should be amended to point to https://www.stackstatus.net.
I see Change status blog address to https://www.stackstatus.net/ in the offline for maintenance page, which looks very much like a duplicate question to me, but that one is closed as status-completed, while I am clearly still experiencing the same issue. Maybe it was only fixed for one site, rather than network-wide?