Movies based on true events

Oft times, movies based on true stories pop up. Generally, they appear somewhat close to the time that the even happened. The movie based on Seal Team 6, for instance, and now movies about Whitey Bulger are in the works. But, is that a good thing?

Many of these events that people would want to make movies about are somewhat sensitive issues. The Whitey Bulger case, for instance, carries a lot of weight for the families of his victims. Seeing a film about this may just upset them, especially so close to the time that he was captured.

Then, there are movies that may not be based on true events, but reference them, such as Remember Me. For 90% of the film, it's a normal romance movie. At the end, however, the main male character is killed in the 9/11 attacks. This could be even worse for people who had family and friends involved in the attacks, because they had no warning about it.

Ultimately, I think movie studios need to walk a fine line with this. There is obviously interest for films about real events, but they need to be handled carefully or else they may cause an upset with the people who were impacted by them.