I'd expect there's a difference in financial assistance between international and domestic students.
Edit: As pointed out by a response, MIT and Harvard both state that their financial aid is independent of international vs US students.
I was an undergrad at Harvard on an F-1 visa, the financial aid package was blind to residency status. This is unusual - many private schools do discriminate - but not unheard of. Later I looked at grad opportunities at MIT primarily because - unlike many others grad schools - they did fund international students to the same level as domestic.
"However, whether you are a domestic applicant or an international applicant does not impact when or how you apply or the financial aid you are offered. Rather, this page is simply intended to be a helpful resource for people who are less familiar with the American educational system and are trying to figure out how to apply to MIT."
https://mitadmissions.org/apply/firstyear/international/
"Our financial aid policies are the same for all applicants, regardless of nationality or citizenship. All aid is based on financial need, and admissions decisions are made without regard to whether an applicant has applied for financial assistance. Harvard meets each student’s demonstrated need."
https://college.harvard.edu/admissions/apply/international-a...