If the Madison hut HAD been open, in all likelihood those three hikers would have arrived late, very cold, near hypothermic and quite estatic to be in out of the cold. They would have had hot drinks, gotten into warm blankets/sleeping bags, had a hearty breakfast the next day and returned home safe and sound, and a bit wiser.
It's been my experience that the general hiking public is NOT well-informed on which NH huts are open at any point in time and their status (fully open, caretaker only, etc), the difference between AMC and RMC huts, etc.
If I were to create a poll and ask "Is the JBL Lodge open year-round", most of the NH hikers would probably wonder in what part of Quebec you'd find JBL, and what the hell does JBL stand for, anyway?
I visited with a gal working as a hutman(woman) at Galehead hut a couple of summers ago. She was from the ADKs, had lived there all her life, hiked there extensively during HS and college, and until a few months earlier had absolutely no knowledge of the AMC and RMC hut system. She was amazed at how extensive the sytem was and that it had been in existence for so many years, and that she'd lived within a hundred miles of it all her life and had never heard of it.