Probably it would be freeing. By the time I started raising children I was already involved with TWI, so all my adopted and biological children grew up with TWI doctrine.
However, despite being mostly Waybrained, I tried to encourage my children to think and come to logical conclusions. It took with some of them, but not with others! By the time I remarried and was raising a stepdaughter, my wife and I didn't attempt to indoctrinate her in anything. She still managed to catch the Christianity bug through friends, got baptized while she was in Air Force basic training, and still considers herself a nondenominational, generic Christian, although I doubt she cares about doctrinal specifics.
Of my children with my first wife, none have stayed with TWI. One son is an atheist, another might be, but doesn't claim the label. My daughter considers herself Catholic, but doesn't really participate. The others never talk about it.
My granddaughters are raised by parents who would probably not identify as atheists, but are not involved in any church and to my knowledge never talk about religion. One of the girls told my wife that she doesn't believe in any gods. They're probably the closest in my extended family who I would consider having been raised atheist -- more like raised doctrinally neutral