This isn't NY, but in California, they required registration of rifles under their new assault weapon definition. Thousands of people sent in registration forms, but even with a year, the state failed to process them due to being "understaffed". They closed the registration period, and so people sued. It took another year or so for the courts to rule for them to open the period again, and people are still complaining that their forms haven't been approved again. CA DOJ loves playing dirty tricks like this, such as raiding gun shops for off list lowers and going "oops" after the courts rule the stores were operating legally. I wouldn't expect NY to be better.