Yep to be fair. Temperature after combustion is around 1500C to 2000C but not for very long.
Correct me if I'm wrong but they have to cool it with extra air in the flame tube. Otherwise the components would melt.
However half the sun's surface temperature is 2700C.
But i guess it sounds more dramatic if I add that. Same as planes falling out of skies (okay he didn't say this but he didn't correct it either)
That temp will literally be 'in the flame iteself'. The majority of the air developed by the compressor 2/3rds I believe is to control flame propagation. The flame is kept centrally orientated in the combustion chamber and compressed air is routed through circular openings in the walls of the combustion chamber to prevent the flame making contact with the sides.
If 2000 degrees got anywhere near the first stage of the turbine, it would be pretty safe to say there would be expensive chunks of metal vacating the jet pipe.