Correct. CIP lounge is available for any person having specific card/category of card (usually gold and above). Full list are available on bank websites.
Speaking of lounges, my personal experience at Karachi, CIP is available and accessible. Lahore, I tried, no one seemed to know so I followed signs. Only PIA lounge was open rest all closed, and PIA lounge was full of sleeping staff! Havent been to new ISB yet so cant stay. Quetta, got CIP access no questions asked.