"The Flying Scotsman" is the King'sCross to Edinburgh train, not the engine, which is called 'Flying Scotsman'.
Normal people don't realise or care about the semantic difference between a train service and a locomotive name. To them it is one and the same. We can not all be perfect and it really isn't worth the level of spotterish wibble and sneering this simple mistake seems to cause.
Complicated by the fact that many people refer to a locomotive as a train as well! Bear in mind the LNER, clever publicists as they were, deliberately named the the brand new loco after the train service before it went on display at the Wembley exhibition, thus advertising not only their latest engineering marvel but their premier long distance passenger service as well to all who laid eyes on her (but it's a ScotsMAN how can it be a her? Oh, another inconsistency!). I suspect the NRM is also gently and wilfully exploiting the confusion between the train and the loco among the public, whilst their railway experts and historians appreciate the difference very well, just like most enthusiasts. I can't see a problem really if it brings more publicity and sales. Filming for the Robson Green programme, my dad Peter was interviewed for hours walking around Doncaster works, talking about original construction and current restortion of the locomotive in particular and his experience of working in that place in the 1940s. No wonder he picked up Mr Green on referring to the loco as a train. Unfortunately that was one of the very few short extracts of the extensive shoot producers chose to put in the final cut. As in previous programmes on the subject I think a single one hour episode is too short to really do justice to telling the loco's (and train's!) entire history from construction through it's many adventures in preservation to today's NRM resurrection. Frankly though it was amazing such a specialised programme went out in such a prime time slot at all.