I don't think that is a realistic "task" of this film. A film can't convince you of a historical event if it doesn't fully describe what that event is. The film can add detail, realism, empathy, and insight to our understanding of the event. But I'm not sure that Schindler's List conveys the essential, stipulated facts about the Holocaust to the novice or skeptic. Without any context, one might think that the Holocaust was a series of random violent acts and perhaps a concentration camp here or there. Only when I visited these camp sites did I fully realize how this was a state-sponsored death industry, as efficient as steel or automotive factories. By the same token, "Twelve Years a Slave" is not the ultimate "slavery story" that can be appreciated without knowing about America's history of endemic racism and institutionalized human trafficking. "Schindler's List" might be treated as the ultimate telling of the Holocaust because of the movie's ambitious scope and pedigree, but it is still just one story.
This theme of context (the context in which we watch a movie) is brought up in this excellent story from This American Life about "Schindler's List". I highly, highly recommend it.
https://www.thisamericanlife.org/644/random-acts-of-history/act-one-5