The day I arrived in early July was a paltry 1200 or so, and there were lines during the day for several hours after the main hump of pilgrims arrived, but later in the evening there were no lines. In fact, we walked in all the way to the counter without a wait and caused frustration on the part of the staff because we hadn't separated and organized our passports and credencials (I was carrying mine and my son's and they were intermixed). My lesson was, don't count on there being a line in which to get organized; be organized before ever walking through the door.
My question to Johnnie Walker and co. is what are the typical volume patterns at different times during the day? What are the typical lowest volume windows?