These are various links I found again- might have missed some. There was a financial aid initiative for fall 2013 that improved aid so any info from before that is outdated, yes. But a later table (admittedly Wikipedia link) that indicates it is need-blind but does not meet full need. All the Cornell financial aid links referring to the initiative mention being “need blind” but do not say it meets “full need.” Instead it says their financial aid is “robust” and they have now capped loans for families with certain incomes. If it is important for a family to know if Cornell meets full need, I would call 
http://news.cornell.edu/stories/2012/07/cornell-affirms-need-blind-admissions-aid-policies
Adjustments to the financial aid programs will take effect starting with undergraduate students matriculating in the fall of 2013. There will be no change to the financial aid programs for students with family incomes below $60,000. These students will continue to have no loan obligation in their financial aid packages; need-based aid will be provided through Cornell grants and federal, state, and other external awards. Students with family incomes between $60,000 to $75,000 will receive financial aid packages that include need-based loans capped at $2,500 per year. For families with incomes ranging from $75,000 to $120,000, need-based loans in the financial aid package will be capped at $5,000 annually. (See chart at end of story.) Expectation for academic year earnings from work, which have not been raised for two decades, will increase from $2,000 to $2,500 per year
http://finaid.cornell.edu/cost-attend/financial-aid-initiatives
http://admissions.cornell.edu/costs-and-aid
Apply for Aid
Applying for financial aid is separate process from the admissions application. This means you will submit your financial information before you are aware of your admissions decision. Applying for aid by the financial aid request dates will insure that your financial aid award is available when you receive your admissions decision. We want you to have all the information you need before making the choice to attend Cornell.
This table is from Wikipedia in a very thorough article, but apologies- it IS Wikipedia. But dates at least 2014.https://en.wikipedia.org/wiki/Need-blind_admission
U.S. institutions that are need-blind for U.S. applicants and do not meet full demonstrated need[edit]
Some schools have a need-blind admissions policy, but do not guarantee to meet the full demonstrated financial need of the students they admit. The following schools fall under this category:
• Albright College
• Babson College (meets 96% of need)[29]
• Bard College
• Baylor University
• Boston University
• Bucknell University (meets 95% of need)[30][31]
• Carnegie Mellon University
• Cornell University (need-blind for all applicants)[32]
• Cooper Union
• Denison University
• Fordham University
• Ithaca College
• Lehigh University
• New York University
• Saint Louis University
• Santa Clara University
• Southern Methodist University
• St. John’s University
• St. Lawrence University
• Syracuse University
• Texas Christian University
• Tulane University
• University of Miami
• University of San Diego