He would have won the general election. Not sure whether he would have clinched the nomination though.
Im not sure if he could win the general election, as keep in mind while Clinton won a massive electoral victory his margin in the tipping point state was still less than 5 points which was less than Obama's in 1992. Cuomo unlike Clinton would also be very vulnerable to the typical GOP playbook of the 70s and 80s as a weak on crime tax and spend democrat.
Clinton basically made that playbook irrelevant and HW really did not know how to deal with that as he unlike W was not good at campaigning on the fly but he was extremely well at campaigning when he had a established playbook to use and vs Cuomo he would. Imo the election actually would resemble the 1992 UK election with Cuomo just like Kinnock expected to win for most of the campaign then but Bush manages to pull out a narrow surprise victory come election day.