Yes Buzz did, try watching it again, he says plainly to the young girl, ' cus we didn't go there'.
And like I said before, you haven't listened to it properly - or maybe not understood it.
Young girl: why has nobody you been to the moon
for such a long time?
Not - "why did you lie about going to the moon?" Or "did you really go to the moon?"
Buzz replies "because we didn't ..... go there". In the context it is quite clear that he means "because we haven't been there" i.e haven't been to the moon for such a long time - not "we never went to the moon at all, it was all a con."
Yes, that is not the best way to phrase it, I would have said "because we (meaning astronauts) haven't" rather than because we didn't. Even so, he is not saying that no one EVER went to the moon.
He goes on to say that he wants to find out why people
stopped going; when they know why people
stopped going, then they can do what they need to
start again.
"I want to find out why we stopped" - it's impossible to stop something that was never started, or didn't happen. "So that they can start AGAIN" - again means that it has happened once/a few times then stopped.
CONTEXT is important; whether in the Bible , YouTube or anywhere else. As I've said before, there are other clips of Buzz speaking about his time as a pilot on Apollo 11. No doubt you will claim here that he is lying - because he is not saying what you want to hear.