Depends what you want to define as "inaccuracy". I mean, the entire film's ambient sound was designed because all of the original historical footage was silent. I suppose technically, that's "inaccurate". You could go from there to the film's use of footage that wasn't shot during the Apollo 11 mission, then continue all the way up to listing mistakes in the film (there are a few).
I can honestly say that the film contains no inaccuracies that misinform the public. This is an important line that the whole team took very seriously.
Actually, just last week Bill Barry, NASA Chief Historian (ret) just accepted the Trask Award from the Society for History in the Federal Government. In his speech he talks about the importance of not misinforming the public when making historical films. He also had some kinds words for Apollo in Real Time.
https://youtu.be/ZtCs-RV_Lek?si=5ONNWdwqrNdCQAvN&t=2243