Apparently in real life the NTSB did the simulation both w/ and w/o including reaction time and concluded quickly that Sully did the right thing.
I read that in the movie, the NTSB initially did only the simulation w/o including reaction time, thought that Sully could have made it to an airport, and had to be persuaded to re-do the simulation w/ including reaction time. Thats the dramatic license part.
As I said, it sounds like a terrific movie. But if it does in fact paint the NTSB investigators as villains, that seems to me like another example of trying to over-dramatize everything to get attention. (I havent seen the movie so I am not sure how heavy handed it is.)
http://www.bloomberg.com/news/articles/2016-09-07/crash-investigators-pan-their-portrayal-as-villains-in-sully
http://www.cbsnews.com/news/former-ntsb-investigators-have-beef-with-movie-sully/
If I had to point at an example of a movie that dealt with similarly heroic feats without feeling compelled to invent a government bad guy to be the villain, try
Memphis Belle. Or
Apollo 13.
Movies are fiction. Doesn't matter if they say quote based on true events unquote.