A sequence of Tiger Moth taking off, F-16 in flight, 747 interior cabin shot, landing at London City, is par for the course in any TV aviation item.
I didn't see the programme, but did they use that stock footage taken under a 747 belly of the centre landing gear lifting off the runway, and later landing ? It was issued by Boeing about 35 years ago and turns up regularly in many programmes. The runway is Moses Lake, Washington, which Boeing uses for test flights.
Of course if they had gone and done the job properly on a real BA/BMed flight to Tehran, us lot would be still taking the proverbial out of them on the grounds that it's now a BMI flight.