Real life is more interesting than Hollywood lies.
As anyone working in a technical occupation knows, the engineers in Parkes would never have tried to mislead NASA about their technical problems as depicted in the film. Such dishonesty once discovered would mean the end of the career of everyone involved, if not actual criminal prosecution.
In real life the serious wiring problem Parkes experienced was the explosion of the television scan-converter, which occurred weeks before the Apollo 11 launch, but was only finally fixed after the launch but before the landing on the moon. Of course NASA was fully informed and assisted in the repairs.
The real-life "Dishmaster", John G. Bolton, was a famous pioneer in radio astronomy, first winner of the Jansky Prize, who was Professor of Astronomy at California Institute of Technology before leaving to take over management of the Parkes Observatory as Director, Australian National Radio Astronomy Observatory. Bolton's wife Letty survived him when he died in 1993, so Sam Neill's character being a widower in the film was also not true to life.
This movie did communicate well the grandeur of Apollo 11's achievement. It's a shame they falsified history in doing so. Regrettably that seems to be something that movie makers almost always do.