I saw the last half or so of that Sky programme. The points were well made so i'm undecided on my view of what happened but I seem to remember that someone on the 747 took a photo of concorde just before it passed in front and unless thay had a fish eye lens attached that aircraft was a lot more then 7m away.
I wouldn't be suprised if it did indeed come close to the 747 but I believe 7m would probably be an exageration.
I'm no crash investigator though so I may well be talking out my ar##
CBK