I understand that the order AFTER is completed is not "submission date".
However, it is clear that my application is ready since Day 1, so it is far more likely that it has already been reviewed than an application Completed three days ago.
Therefore, in my opinion the probabilities that my application has already been put in one of the two piles (dinged or interview) is very high. Of course I will have still hope if I don't receive the invite today (I'm optimistic by nature), but well if I don't receive invite I think my chances will be much lower than a guy whose application was completed yesterday and who doesn't receive an invite.