A significant concern 80k years ago (though with lack of communication, few would know that the disembodied hand represented), not even a consideration now. 1 person dies from The Hand in the world each day? More people die of aneurysms each day, I would imagine, and it's effectively the same thing.
Also, does it stop following a given person if they escape it by the end of the day? If you could hop in a car and just drive until the day is over to escape it, it would be more of a "hey, watch out for the hand" kind of thing. But it would be so rare I don't even think it would be on anybody's mind.