Tulane has the name, resources, lots of history, good weather (in the winter), fun city, higher ranking...and many people have Tulane as a "top choice". while I am sure NYMC and EVMS both have some VERY good qualities...I think the majority use those schools as backups.
I got into Tulane, and while I am not going (since I got into USC...which was a huge reach school for me) I would take that over the other schools I got into or interviewed at any day of the week.