Using e.g. google cache:
http://webcache.googleusercontent.com/search?q=cache:https://en.wikipedia.org/%3Ftitle%3DMs.+
It pops up "You are centrally logged in. Reload the page to apply your user settings." every time but this is obviously not true. I don't know what it did, but it didn't establish an meaningful session.
I don't know if it is feasible to prevent the auto-login attempt when it isn't useful. But at least we shouldn't report that it succeeded when it didn't.
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Possibly related: