Ain't hindsight a wonderful thing...
Emotions included, I seriously doubt any
of them, captain or crew, would have left the dock if they thought for even a few seconds that they wouldn't make it. This is a sailing ship in a storm, not an amusement park ride.
Was it common knowledge there were doubts about the soundness of the hull (probably irrelevant in the end anyway)? Was it common knowledge the pumps didn't work? No.. I don't think so.
As we say over here, "$hit happens".. but mix in a slice of poor judgement, a dash of over-confidence and a few well-intentioned mistakes and the result is well known to all.