Then don't believe it. Doesn't matter to me, really. I just find it fascinating that everyone on this thread is applying Occam's Razor so well. Because you saw video where there was no delay, is the simpler explanation that the whole thing was faked, or that the content you saw was edited for clarity?
Every "live" event today is on a time delay so that censors can clean up a feed. Why not in 1969?
When they admit a small lie, as you say they have, to counter an airtight scientific argument disproving it, it smells funny.
What if it was proven that radiation on the moon would kill a man despite those incredibly sturdy spacesuits?
Would they suddenly admit the moonwalk was faked, but they DID land there and hang out in the spacecraft?
When parties continually adjust their version of events in order to counter new evidence/arguments, it ruins all of their credibility. (Like that duke rape accuser, changing her story to match newly released info)