PIA bought 5 Super Connies in 1954-58. By their 1962 timetable they had been supplanted on International services by Boeing 720s, and just two aircraft were scheduled for services between East and West Pakistan, having to fly the long way round south of India. Further Boeing deliveries shortly afterwards ended their scheduled operation, yet they were still in fleet use in 1967, and it was not until 1969 that they were disposed of, to the Indonesian Air Force, apparently "donated". Presumably Connies could only be given away by then !
So all through the 1960s PIA had a spare fleet of Connies, which were presumably doing something. I would guess Hadj charters would be a bit of it, and hired to the Air Force could well be another source of utilisation.