You would be right if that were true. But it's only banned on Long Island in NY. That's where all the beaches are. People still kite in NY. Pretty sure you can still kite in Montauk, NY. (long drive) The Best Kite Center is in NY along with Island Riders and a few other schools are located on Long Island and still are in operation that I know of. People snowkiters all over NY so it is only banned in a peticular place and not the whole state.
The following activities are prohibited on propoerty under the jurisdiction custody and control of theoffice except in areas specifically designated therefor, during such hours or seasonal periods specifically authorized and subject to such conditions as may be contained herein.
a) the throwing striking kicking or catching of any ball or other object or the conduct of any game athleticactivity or the use of any device or equipment used in any such game or activity
b) the engaging in toy or model boating or automobiling
g) Kite flying
Unless you are specifically permitted you can not kiteboard. Pretty sure the only thing you are allowed to do in a new york state park is go to the park, buy a park permit, enter the park, silently stand in the designated area, and then leave.
Compared to the rules here in Michigan, we ban people from starting forest fires and dumping trash in the woods pretty much everything else goes.