>There's nothing stopping the state from renaming the courts now to conform with established convention in the rest of the nation, in order to reduce confusion.

I imagine that the entire New York Legislature are hanging their heads in shame for confusing a few dozen folks on HN who don't even live in the state.

I further imagine that it will immediately become important for the governor to call an emergency session of the Legislature (which normally meets from January to June) to change the name of the court after they read your comment.