Absolutely correct!New York State, unlike some supposedly more friendly gun states, does not restrict permit holders from possessing a loaded weapon in a bar or restaurant.
The "restrictions" we are speaking about come from the issuing judge. Many counties have a policy of restricting first time pistol permit owners to "hunting and target practice" or "recreation and target practice", the intent of which is to prevent the first time pistol permit holder from wandering around with his or her loaded weapon.
The restrictions are administrative only. That is, the issuing judge could revoke your permit if you are caught breaking the restrictions, but you couldn't be prosecuted for breaking the law because the law doesn't recognize such restrictions.