This is purely speculation (and heavily biased by the fact that I want to be accepted), but I feel like logically, if you've been reviewed this many times without being flat-out rejected, then you stand a better chance then the latest applicants who are about as competitive as you. If a late applicant is a clear stand-out, then there's no reason why they wouldn't get an acceptance quickly. But if you have two similarly competitive applicants for one spot, but one interviewed much earlier and the committee has repeatedly decided not to reject him/her, then the earlier applicant would probably have a better chance simply because the committee has had more time to think about that applicant's potential as a student. Again, this is purely speculation, but I doubt medical school admissions love making last minute clutch decisions without much deliberation.