I have no issue with the movie (because I viewed it as entertainment rather than truth), but I see your point: Too many Americans take Hollywood’s take on events as reality, and you’ll never convince them otherwise; they certainly won’t read up on it.
Just caught part of a show on “Titanic”, comparing the movie with reality. One inaccuracy was the higher death rate in second-class passengers over steerage passengers; the producers attributed this to a possible physical advantage of the average steerage passenger over office clerks and such. The movie practically has first class passengers making rafts out of the children of steerage passengers...
Titanic was pure myth making and fantasy - and succeeded beautifully. It was not intended to be a realistic docudrama about the historical event.