Corrected entry: When Jim is in the exhaust tunnel and Aurora is trying to 'vent' the reactor, as the 'flames' reach him, he should be incinerated within seconds. The heat output of the reactor should be over 10,000° F.
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Correction: With flame resistant technology as we know it today, this would be a reasonable conclusion. However, this movie has made pretty clear this ship has very advanced technology beyond what we have in today's world in order to make a safe passage 150 light years away which is an impossible journey in of itself with our current technology. With the movie taking place in an unsaid time in the future where technology is far more advanced, it's not unreasonable to assume they have come up with better flame resistant technology that is currently not known in the technology we have today.
But then his little shield burned up instantly when it hit the propulsion stream. If the tech was savvy enough to withstand the venting heat, then it would have withstood the propulsion wash.
I honestly don't think it's fair to assume how things will work in a future we will never live in where they probably will have extremely fired resistant objects with the significant progress they are making. Such as the solar probe that can now touch the sun. An initial burn may be part of the way a clear shield shows its resistance in the future similar to how many fire resistant clothing will initially catch fire then the flames will suddenly go out. Especially since the shield didn't crack.