Are you sure? The linked page is thin on information but it does list this as one of the cons:
Companies may start LLCs elsewhere, reducing revenue for New York state.
Companies may start LLCs elsewhere, reducing revenue for New York state.
If a company incorporates as an LLC in another state, New York loses out on the formation filing fees. Also, if the company also chooses to set up its office elsewhere, New York would lose out on additional tax revenue.