I had a tab open in Firefox from when I was logged in. Not realizing I had been logged out of the site, I clicked the review icon in the top bar. The menu that would ordinarily show me the review queues that I am allowed to use appeared, but only for a fraction of a second. After a few tries, I managed to get a screenshot:
The icon was highlighted in white after the menu closed:
When highlighted that way, I could not attempt to open the menu again, but clicking elsewhere on the page removed the highlighting on the icon and I was able to try again (only to have it close immediately again).
I do not expect to be able to review posts while not logged in, of course. But I didn't expect anything like this behavior. Usually if I try to do something that requires I be logged in--even from a page that loaded when I was logged in and doesn't "know" I'm logged out yet--I am either (a) told that I need to be logged in, or (b) told that I don't have the permissions to perform that action.
Since empty menus that open then immediately close without saying anything about what's not working is disconcerting, I doubt this is the intended behavior of the system.