The programme tends to show how dull some passengers can be rather than problems with the airline itself. If they're late, they're late. If the passport is out of date or defaced, it isn't the airline's probem (unless they accept the pax - then it certainly IS the airline's problem!!).
The film crew tends to sit at the nearest cafe to check in, wait for a flight closure, then race to film the next pax that arrive with the guarantee that there will be some sort of exchange to record. The presence of the cameras also tends to aggravate the situation beyond where it would normally have gone.
Passengers who arrive on time, check in correctly with the appropriate documentation and then fly to their destination, tend not to be filmed because it doesn't sell!