The traditional package holiday crowd have no idea and little interest in what airline they fly with, just so long as it gets them to the destination on time.
Many don't even look at their tickets till they arrive at the check in area !
That said TUI are retaining the Thomson and First Choice brands in the retail sectors.
The airline businesses have been moving towards a uniform brand for about six years and the UK aircraft have had a tag World of TUI up by the front doors for some time.
Exception to this being Corsair in France.
The single brand make the seasonal swaps particularly the long haul aircraft between the UK and Scandinavian divisions seamless.