I have certainly met people who thought the details of a drama matched those of fact. Too many people in this country do not read, or are not really interested in the truth. It’s the same as trying to make them understand the media is biased. They don’t want to bother, or are unable, to think critically.
No dramatization has ever been faithful to the historical record of anything. It’s not the way drama works. Whenever there is a film inspired by actual events there are always articles about the ‘lies’. It never fails. If you want the truth watch a documentary.