As far as I am concerned, they should. However, this being NY, I wouldn't hold my breath till it is passed.
So, for the record, I feel that all of the following should be legal in any county in the State:
Centerfire rifle,
shotgun,
centerfire pistol,
centerfire revolver,
any muzzleloader,
any bow,
any crossbow.
Just my opinion, but getting it passed in NY is near impossible.