I hate to be that guy...but you misquoted Armstrong. There is no "all". And some say that there is an "a" before "man" or else the two parts of the quote mean the exact same thing as "man" = "mankind" in this case without the word "a."
As I have heard it explained, he planned to say that and may have actually said it, but in the transmission it just sounds like "for man". It does sound like it cuts out briefly so maybe just a poor transmission.
May I suggest a OneRepublic addition, I had a long period of confusing them with One Direction, so I still have them paired up in the same drawer of my brain.