Erm, I think one of the reasons airlines do NOT use safety data in their publicity is because they know it is pretty much meaningless. Is Air France safer now than it was a month ago/year ago/decade ago? Ditto Ryanair/BA/United, virtually any well regulated and trained airline in the world.
This is a bit of a distraction (perhaps the point, given the lack of concrete facts concerning the main points raised on this thread?)
BA must adapt to survive. The board, the shareholders, and the majority of staff think WW is the man to do it. ANY staff group that seeks to hold the company to ransom with unreasonable demands WILL be steamrollered.