Applying Early = Merit Aid?

Hi all, I was wondering if applying months before the January RD deadline would give you more of a chance of a higher merit aid package? Just because I know that some schools give higher scholarships to students who apply months before the deadline. Kind of like a first come, first serve basis.
I know Syracuse is not a rolling admissions school so this probably isn’t the case for them but I just wanted to double check.

Very interested in this very same question. Weighing ED vs RD … only want to apply ED if it helps merit/financial aid package. Otherwise, would it be best to weigh it against other schools even though this is my son’s dream school?