Let me give you an alternate scenario, which might change your mind.
Suppose the man opens his door and lets the woman and her children in. Then, a few minutes later, three of her thug boyfriends show up and she forcibly opens the door a crack and they force their way in.
They proceed to perform a horrific home invasion, and since all law enforcement is preoccupied with the storm, there is no hope of rescue for the man, nor even a hope of justice, as evidence is washed away by the storm.
I have personally been scammed by low-lifes using children as props.
It could even have been the plan in this case, except the storm thwarted her by sweeping away the children before the thugs showed up.
Everything in life is not what it seems on the surface.
>>>>Everything in life is not what it seems on the surface.
An excellent reason never to open your door at all, at any time, or for any reason, even for the FedEx guy or the pizza delivery boy.
In other words, the man in question during the storm was an agoraphobic paranoid kook, and you deeply empathize with his condition.
Splendid.