In the Lovells' commentary, Jim Lovell said that when Ron Howard set out to build his own MOCR set, the technical advisors thought he did such a good job they couldn't tell if they were in the set or the real one.

I think what James Tichenor says is true. Only bad CG is ever acknowledged because good CG blends into the background too well to be noticed (which applies to the launch sequence). Similarly, only historical inaccuracy gets noticed.