It seems so odd... I mean, you would have NO IDEA what could happen. Especially the less benign-seeming ones. E.g. the one where the little girl woke up with scratches on her back/bedroom wall (maybe those people did move, just an eg). You wouldn't leave your DC to sleep in a room with a live wolf/angry old man etc.
That's actually a very good point. Of course, nobody who truly believed that any sort of "entity" was harming their child would stay put. They'd camp out at relatives houses. They'd buy a tent. They'd do anything rather than put their children in physical danger.
Which rather suggests that they know full well that there is no such thing, and that the children are not being attacked. But people just love the drama of imagining/pretending that their house is haunted or whatever.
An acquaintance of mine, years ago, was a horsey type and had a horse with "issues". She got this witchy-type person out to cleanse its aura/read its bumps/fondle its withers or whatever. Anyway, in this money grabbing nutjobs woman's "conversations" with said horse, it was apparently complaining that it didn't like its name. The woman went to great lengths to explain how much the horse loathed its name. It wanted a new name, apparently and if it was given a new name, it promised to start behaving and stop tossing its owner off or whatever it was that the trauma of having the wrong name was causing it to do.
Now, you'd think that the owner would IMMEDIATELY change its name, wouldn't you?? I mean, how amazing! This horse had communicated that all its problems were due to the wrong name, and if it was changed, all would be well! Brilliant! You'd change its name in a heartbeat, surely.
Well, no. Because she really LIKED its name. Even if the horse itself didn't like it.
But - get this - she STILL goes on about how amazing this woman is, and how she's got marvellous powers.
CLEARLY, deep down, she doesn't believe a word of it. She is an intelligent woman. She knows it is nonsense. It's a lovely IDEA, and having various crystal healings and other such rubbish makes for a lovely conversation piece, and makes her feel all spiritual and whatnot, but when it comes to it, she doesn't ultimately believe it. Quite rightly, of course!
Same principle with the "My Child Got Scratched To Pieces By A Thing In The Night!!!!!!!!!!! But, Erm, Well, Yes, We're Still Living Here....." bods.