I've always meant to check if that's a predictor, but anecdotal evidence suggests not. I.e. I know some of the most successful startups applied at the last minute, but not all did.
That seems to contradict - "Early submissions have a significant advantage because we have more time to look at them and engage with the founders." :)
But then we saw a team get accepted on stage on Saturday, so there is definitely some anecdotal evidence for advantage of early submission :)