Here are some highlights from "Brooklyn's Willoughby Square: Mayor's Latest Libertarian Park" by Matt Chaban:
[New NYC parks] are being built by the public sector but maintained through private development on or near the parks—in the case of the former, through multi-use piers; the latter, residential development, though the Brooklyn Bridge Park plan has drawn considerable scorn and is currently under reconsideration.
Never mind that there may not even be enough money coming in through said development to keep the parks going.
With Willoughby Square, and the much larger Governors Island just across the harbor, the city has taken its plan a step further toward the Libertarian ideal of private-public space, which is what concerns so many critics: that eventually such spaces will cease to be public at all, more admission-only amusement parks than public amenities. (This is already common practice at many National Parks.)