"How will it look if they finally say that they were wrong about transfusions? It has literally been a life and death issue for decades now, and the backlash would probably go mainstream. And I would imagine that at least a few people would sue them, which would definitely get them more attention of the type they do not want. The blood issue is a minefield for them."
Exactly. If they can figure how to remove the no blood issue without this happening, then it will be gone.
So the problem is the critics preventing them to do that, not the GB itself.