Stephen Law is fine for me to blog about his forthcoming paper, which is here. He suggests that for every theodicy which explains how a world created by a good God could have so much evil there is a similar agrument that would explain how a world created by an evil god could have so much good.
It is an interesting and thought-provoking paper. Of course I think there are a lot of problems with his arguments! It seems to me that the most fundamental ones can be seen if we consider the following statement:
A(LUC): Belief in a Loving Ultimate Creator is a worldview that is deeply satisfying for its hundreds of millions of adherents, provides richly articulated explanations of many fundamental aspects of their experience, and helps them lead happier, more satisfying and evolutionary successful lives.
Now first of all, whether or not you think that A(LUC) ought to be true in a rational world, it seems clear to me that it is true in this world and encapsulates many of the reasons why people believe in God. It also offers some explanation of why militant atheism is ultimately futile: any worldview of which A is true is likely to prosper. Of course A does not say anything directly about whether or in what sense this worldview is true. But I think it is plausible to argue that if there were a LUC then it is likely that the universe would be such that A(LUC) were true.
However for the present purposes what is notable about A is that every aspect of it is false if made into A(EUC): “Belief in an Evil Ultimate Creator is...”. Not only does the EUC idea have zero adherents, it isn’t a worldview, is in no sense “richly articulated”, offers only parodies of explanations of some aspects of our existence, and it is pretty clear that if anyone really believed it their lives would be miserable, unsatisfying and highly unlikely to encourage the successful raising of children. (Much the same applies to the silly Flying Spaghetti Monster)
Of course I'm not arguing that all ideas with zero adherents must be false or that something must be true because it has so many adherents or such a lot of literature. But I think this does rather squarely meet your challenge, and certainly shows the falsehood of the “symmetry thesis”.