As with most things, there's the law and then there's reality. The CLEO can't deny your FID or refuse to issue it, but he can make the process a royal PITA. Applications are only available by appointment, which must be scheduled at least 30 days in advance. Appointments may be scheduled between 3:00 and 3:15 pm alternate Tuesdays (providing the scheduling officer is available). Expect last minute postponements and frequent loss of applications. IOW, no difference between the treatment of FID applications and LTC applications, except that, once you manage to apply, there's only the illegal delays (all of which will be blamed on the State Police, CHSB or DMH).
Ken