Several FPSes have covered this topic and clearly show staged footage! Or at least sets.
Either way, from those who believe it's a hoax, has come the entertaining sight of an old Buzz Aldrin knocking the hell out of a yappy documentary maker.
But, lets be entirely fair, the government currently tells you that they are winning the war on Terror by invading an oddly small number of countries, one of which was impressively not linked to anything they said they were. The government used to tell you that marijuanna users could be identified because their jeans were slick with semen from the times they couldn't find a rape victim.
The thought of the government engaging in one giant lie is painfully just as plausible as the achievement of going into space. More nonsensical perhaps, but a past, present, and future of bullshit does not gain trust.