The little know fact that JWs loose these cases all the time and their children get blood all the time. Some states has speacial expediated medical hearings and rubber stamp these orders insanely fast. Before you can contest the kids is a ward of the state. It is a mind game for dumb JWs to believe JW children don't get blood.
Perhaps secretly the parents know this but go through the motions anyway knowing that the state will rescue the child. At least they can say to their murderous elders, "well, we did what was asked but the state took over and forced the blood". With that they don't have to fear disfellowshipping as it was out of their control.