Well, I've been trying to log in for about two and a half hours. First attempt had me join a queue of about 7,000, got down to 4,000 before a 2002 error. After about 5 minutes of repeated attempts to log in which were denied through 2002 errors, joined a queue of about 9,000, got down to 5,000 before another 2002 error. Another 5 minutes of repeated 2002 errors, then successfully queued again in a queue of 10,000. That hit 7,000 before, yet again, a 2002 error. Yet another 5 minutes of repeated 2002 errors, and I've now just joined a queue of 10,608.

SE seems to think the login queues are stable, just moving slowly. They are clearly not.