Unless I'm much mistaken (and it's possible - I'm embarrassingly stupid about financial aid despite my many many student loans...or maybe there's a correlation?
) the schools don't process the FAFSA. That's processed by the federal Dept. of Education and reports are sent to the individual schools that you designate. Besides, the standards are uniform and I believe that nearly all grad students qualify for the $18,500 in Stafford loans. The FAFSA primarily determines whether you're eligible for any of that as subsidized loans (up to $8,500 can be subsidized.)
Once the schools receive your report, they use some of the information to do their own financial aid calculations. This is where it varies from school to school. Some won't require anything additional, some require Need Access or their own forms. Some make you supply your parents' financial info regardless of your status (grrr.) I loved Michigan, because they didn't require parental data if you could prove financial independence for at least five years.
Anyway, hope that helps (sincerely, not snarkily.)