Depends what happens as to whether it's a problem or not. Maybe it fails to handle the load, the users get a "failure to authenticate" message or similar, and

Depends what happens as to whether it's a problem or not. Maybe it fails to handle the load, the users get a "failure to authenticate" message or similar, and they try again. If their peaks are really sharp and short, that's probably just fine, because that second attempt almost invariably works.