Do you mean the security line for x-raying bags? I wasn't told there was a J class priority, and this was after seeing the ladies who were supervising the check in desks. I was just told to join the queue for x-raying bags.

Although the queue looks long, I was processed within 5 minutes I think...definitely less than 10 minutes.

The other off putting thing is when you walk over to the immigration area from the CX checkin, invariably there is a huge "queue" for the Air India checkin. It looks like it is a queue for immigration, but it isn't. So just find your way around this long rowdy crowd and you will find that the immigration area is clear.