How does radio communication work from the moon, exactly?

Antennae? What I'm getting at is that many people on earth should have been in a position to determine the direction the signal was coming from.

How did that phone call take place without delay from the moon to president Nixon?

I just took a look at that. It appears that there was delay on the moon end of the conversation, and it also appeared largely scripted.

So you’re considering that we would send people to the moon and not bother to record or document it in any way?

No, just that what they showed the public and published is not necessarily an accurate reflection of the true mission details.