I agree it would be hard to start such as experiment with open minded parents who wish to see what would happen, even if the result conflicts with their own subjective bias. Stories are natural for the child, because this is how the natural brain works. It is only after the natural animal is made cultural/artificial does programming come in and the result will becomes artificial.
The little child has no prejudice or cultural bias. This comes after programming. Before programming they are attracted to other natural things, while has no sense of prejudice. After programming unnatural becomes more possible.
I dont think that would be healthy. Children have only 2 jobs - learning and growing - even survival itself is dependant on parents. Children will eat anything that can taste good and the same goes for ideas. The relentless questions are for a purpose - to know, understand, develop and become a successful social animal within a decade of speech. In the formative times, its not good to give the child diametric views - we can only try and be fair and unbaised and agnostic about uncertains and be consistent about the certainities until they are conscious, reasoning little persons - say age 5-8, maybe 9-10 for the pampered ones. Then we can give them the opposing views, educate them about rational, critical thinking, and then teach them all the things I suggested in the OP, then let them be what they wanna be.