The beauty of the Ivies need blind admissions policies is that the Mayor with the financial stats he appears to have very well may qualify for financial assistance. As a recruiter for Yale, this is what I have been telling students and their parents until I am blue in the face.
Also, those that are bemoaning the fact that they are well off and full pay, that is the blessing of have a child be accepted to an Ivy League school and may be one of the reason why so many students are applying. These schools have more money than some countries and are willing to pay to have the diversity in their schools that they want. And in this case I am not talking about racial diversity, but economic. They do not want their classes full of full pay kids.