Days worked at home should definitely be zero. Although it doesn't say so explicitly, it clearly means days worked at home for a New York employer. For you, that's zero. If it's anything other than zero New York will treat it as days that you worked in New York.
I don't think it will cause any problems as long as your explanation makes it very clear that you did not live or work in New York at any time in 2022, did not work for a New York employer, have no connection to New York, and that the New York wages on your W-2 was just a mistake by the employer. As I said earlier, it would help if you could get a letter from the employer saying that it was a mistake.
What state do you live in?
I will be unavailable from now until Saturday night. If you have further questions, I'll respond Saturday night.
