I actually created some sort of deity who is one of my older deity concepts who is a bit similar to your twisted gods.
It is called the Jester God or God of Chaos and Freedom or the liberator. The thing about this deity is that nobody actually knows about his existence and the few ones who do are either trying to know more about this entity or were "contacted" by it. The people who were contacted by the jester god will choose if they want to leave their "prison" (it is what the Jester god calls their current life situation) or to remain in the prison or even to remain in the prison and forget that all of this ever happened. The people who choose to leave, are disappearing and nobody knows how and when (and the whole Jester god thing). Some of them returned after days or weeks or decades but most of them just disappears shortly after a while again. But some of them reappear multiple times for longer time periods. All of them also have strange und ununsual abilities or some kind of magic. Almost like they could bend and reshape the reality around them to their will and imagination.
I could tell more about this deity, his nature and his influence if somebody wants. Sorry if there are any grammar errors.