Thanks for sharing, and I think this is one of the strongest arguments for it actually happening - that it’s too big of a project to keep it secret. But not sure how many would have needed to be involved in knowing if the astronauts just stayed in orbit the whole time, either.
You have to come up with some elaborate nonsense about the radio signals being bounced off the moon to cover that, but then there's this annoying speed-of-light problem (roundtrip to the moon takes 5 seconds!) to contend with.