I think some do. But the idea of a cover, as found in espionage, policing, and organized crime, is always quite conscious. Mad people doing their thing in religion would not be conscious of using religion as a cover because the madperson does not know they are mad. That’s part of a definition of madness. The normal range of logic, common sense and humility is eclipsed by powerful psychological forces and, I would suggest, strange spiritual influences.
Freud room at the Sigmund Freud Museum in the Berggasse. Vienna. 2013. Photograph by Gerhard Trumler.
Here’s a snippet of an entry at earthpages.ca about Sigmund Freud’s book, The Future of an Illusion. It’s part of a discussion on Freud’s claim that religion is illusory.