I wish that was true, but if religion disappeared tomorrow, it would be back again within a generation. People love believing in unprovable bullshit and then being a part of some "special" group that gets it. Look at all of the conspiracies that have popped up in just the last two years since covid. Puritanism basically came out of a syphilis epidemic. The 'god of the gaps' phenomenon is real, and religion and conspiracy often emerges when people feel let down by the authorities (science being the main one in modern society) or things are happening outside of their control. Some opportunist will always be there to offer a 'solution.'
Women are far more likely to be users of alternative medicine, and one suggested reason for this was that medicine has historically failed women by basing almost everything on men, using the male body as a default, and taking their health issues less seriously. When you look in developing countries, these traditional and folk medicines occur more often amongst people who can't afford or don't have access to evidence-based medicine. When people can afford it, they usually go to a proper doctor. Within rich countries, it's not surprising to see a lot of these sorts of fads emerging from America, where people often struggle to access affordable healthcare. It also therefore not a massive surprise to see far higher rates of religiosity there.