I came back from the UK last night on the Pegasus flight from Stansted, changing in Istanbul. Although the incoming flight arrived early in Stansted, the outgoing flight was delayed by 1 hour +, "as there was no slot at Istanbul". As there's only 1.5 hours between flights in Istanbul, I asked the flight crew what, if anything, Pegasus would do to enable us to catch our onward flights.
Ground staff met us at the entrance to passport control &, provided you had a boarding card for the onward flight, that was boarding imminently, directed us to a seperate passport control area, bypassing the hour + queue. We were then directed through the transit passenger entrances, bypassing domestic security, so just a gentle stroll to the gate for the Dalaman flight, where we arrived before the gate opened - a first for me!
Whilst it's true that it saved them the hassle of rebooking flights, it took all of the stress out of the situation, so many thanks Pegasus.