Just about all who think NASA hoaxed the Moon landings agree that something was launched. And that that was what splashed down later. And lots say that's where the broadcast came from. But an object in low-Earth orbit takes about 90 min to go around the Earth. No place could receive radio signals for hours on end. It would also be visible. And its orbit can be calculated from the signals received. And NASA said, at a certain point, the rockets fired (and people sure could see in binoculars and telescopes).