Correct me if I'm wrong, for most schools, applications are being viewed sequentially in the order of completion (even the schools that might prioritize high stats people, the rest of the app are probably still reviewed in semi sequential order). They might not give out II faster, because holistic review of the applications still take time. However, it doesn't change the fact that apps submitted now will have to wait for the thousands, if not ten thousands apps that were submitted before them to be reviewed first. Based on what I heard, usually it goes like this, X amount of app per committee review session and A% of interview are given.Unless schools drastically reduce A, the percentage of interviews given per X amount of app for those who have already submitted, then the amount of II left for those who submitted now are indeed equivalent to a very late completion date of the last cycle.
I am not one of those who submitted super early and I do feel the pressure too. However, I don't avoid thinking about the possibility that my app is at already at an disadvantage just because it's scary. I actually want to know more to have a healthier and more realistic expectation of the outcome.
EDIT: and I feel sorry for people who, for various reasons, had to wait to complete their apps (a lot of my friends are still waiting for the committee pack, ugh). I can only hope the process become more of a fair game for everyone. Best of luck!