The zoo threatened it but never did it. The rare animal range did close as did the other exhibits, but the hours were never touched.
The zoo has no reason to cut ties with the city. The majority of its budget is either donated from private individuals and admissions. The city is a small part of their budget, but should not be ignored. The city also helps out extensively with new exhibits like ocean wonders: sharks. The city owns the 3 city zoos at minimum and WCS manages them. The zoo would have to give this up if it cut ties. Also its important the zoo and city work together as infrastructure improvements, building permitting and zoning all require city help.
I don't disagree with privatizing zoos, yet the Bronx Zoo already is private and has been since its founding. The city never founded the zoo, it was the New York Zoological Society which is now known as the WCS. Its a non-profit and is not part of the city. Most privatized zoos still have funding agreements with the locality they are in and thats the case for the Bronx Zoo. The issue for the WCS is that the zoos and global programs operate on largely separate budgets. Much of the NYC funding and admissions/gift shops/food are for the zoos, while the federal government and private individuals cover most of the global programs.
City funding for 2017 was 16%, yet in 2012 it was 10%. The reason is that the increased city funding is for an improvement (shark exhibit) on NYC land (NY Aquarium). I imagine come 2018 city funding will fall again, as it is only increased because of capital improvements.
The budget can be found in here:
https://c532f75abb9c1c021b8c-e46e47...onservation_Impact_Report_Digital_Version.pdf