I thought they did a fair job on the programme. They obviously can't get over technical in a programme like that. Captain Hutchinson seemed to make a lot of good points. The idea of the fire going out seemed a bit unlikely, but then, he's a Concorde pilot and I'm not, so what do I know? A Concorde FO explained to me last year that they have a 'Velocity Zero-Rate-Of-Climb' Basically, Concordes delta wing produces more and more drag the slower it flies but doesn't stall, the limit is bhow much power there is available to counter the drag, hence all the noise, fuel burn etc on final approach with the nose high. I think he said that in the configeration they were in the VZROC was aroun 350 kts. If Captain Martin had rotated early beause they'd been dragged off the side of the runway by the undercarriage fault, and they then couldn't retract the gear (I understand the hydraulics for raising the undercarriage is off the left-hand engines, both of which were shut down) they obviously couldn't achieve a positive climb on two engines.
But with regard to the documentry, that kind of explaination is a bit two envolved for the general public, so apart from possibly a bit too much pathos (and please don't please don't mis-understand me, it was tragic and I have the greatist respect for the crew, passangers and people killed on the ground) I think it did a fair job.