that would certainly reduce stress a lot.
Just for kicks I started running a stopwatch every 2002 and it appears it not only keeps your place but keeps updating your place for 5 minutes before kicking you out of line so the thing to do is stay within sight of it so you can hammer those login credentials and hope you get past the "start" in time.
Just having to hit start on the title screen until your back in queue would be much better. As would a longer grace period to get back in. Granted both these problems will probably be gone within a week anyways
4004 is not so lenient though