I think that when NASA works on a moon shot, they know too well that all of the people working on it must do their job at 110 percent. Sometimes they probably put in 18 hour days, but they're aiming for the moon, and that's what counts.
Now, I've never flown in space; but the folks who have say that on landing day, you know, you've just spent maybe a week and a half, sometimes two weeks in orbit and you're used to the things happening slowly in space.
Even if it was a difficult operation to copy a song, it only takes one person to do it. After that the spread of the song via the Internet or other means of propagation is only limited by the honesty of the users.