They’re going after the “may issue” part of NY state law.
The press release says it’s a “carry license” but several people in comments at Snowflakes in Hell have said that in NY the carry license is required just to own a handgun, and it gets ‘endorsed’ as to where you can carry (i.e., home only, home and business, hunting and target shooting, unrestricted, etc.).
The primary issue, of course, is discretionary issue of a license for a Constitutional Right. As disturbing as the idea of licensing a Constitutional Right is, the field isn’t quite “ripe” yet to eliminate it. Tackling “may issue” for mere ownership, however, is a logical next step.
(h/t Sebastian at Snowflakes in Hell)