I can't see that happening, screens or not.
Granted there have been plenty of VC-10s and Tridents hacked apart at Hatton Cross by Mr Coley's JCB in the past, but that only upset us engineers.
If photos were to leak out of Concorde being put under the torch, when there are dozens of museums that would have given it a good home, that would be hugely damaging publicity for BA.
Somehow I don't see the beancounters getting their way on this one.