Of course they will come out and say "just a short delay" immediately, but who knows what the actual delay gets to when they really start looking at it. Besides, how can they really know that it is okay without taking it down and putting it through all of the motions? A bent arm in a manner not visible while folded in launch config but prevents it from unfolding after launch is a very dumb reason to not have this thing work.
But hey, we need to launch, right?
E: Hey we're pretty sure this is going to kill people.
M: Are you sure? Maybe we can just do it while thinking really positive thoughts.
Meanwhile one of the managers responsible for giving the 'go signal' still blames the engineers. "Hey, if it was unsafe the engineers should have said so." Ignoring that he had been bullying them for hours to shut up about how it was unsafe.
The dramatization of the event in one of the documentaries stands out to me. "I'm going to go around the room and if anyone knows that this thing is definitely unsafe, then they need to speak up." WRONG. You go around the room and make everyone explicitly say it's safe. If anyone refuses you don't launch. They might seem like logical duals, but there is a huge difference.
This problem was a management problem.
Make them agree on the one who should shoulder responsibility for a possible problem, to crash the process.