It now seems likely that that this year was the last where candidates for New York Sate Supreme Court Justices will be chosen by conventions. This is a result of 2 Federal Court decisions that ruled the present convention system illegal.
Despite talk of switching to an appointive system, the most likely change is that candidate for Supreme Court will, starting next year, be picked in Primary elections. That is because a change to an appointive system requires amending the State Constitution and that will take at least three years.
While many reformers and good government types who sincerely want to have a high quality court system have proposals to improve the way these judges will be elected (public financing, smaller districts, independent screening panels), these changes are so controversial that I doubt the State Legislature will agree to them.