From what I have seen in my neck of the woods, those children raised without a constructive belief system usually end up lost and confused.
Please define and clarify "lost and confused".
I raised my own children without what YOU would call a "constructive belief system". I was very open with them about my atheism, and we often had discussions about the topic. But I NEVER insisted that they adopt my atheism, and I actually exposed them to churches when they were younger, as well. They went through various phases. My sons have both ended up (currently) being atheists, but for much of their childhoods they adhered to some form of god-belief. My middle son actually, at one point, created his own tentative "theology". This didn't mean they were "lost and confused". It meant they were THINKING on their own, trying to figure things out. They were ENGAGING with the world and thinking deeply about what it all meant. They were growing up.
Like I said, they seem to have settled down as atheists as young adults, but I never forced that viewpoint on them. They are certainly not "lost and confused". They know what they want from life, are working on their college degrees, and have laudable goals and realistic expectations from life.
My daughter is still a teenager, but she's almost 18 now. She has never been as interested in religious discussions as her brothers and seemed content to simply view herself as a "christian", although when I would talk to her about what that meant, I think it would be more accurate to call her a deist. Again, I have never tried to influence her thinking on this subject, and I don't force conversations upon her. She is also not "lost and confused".
My children are very intelligent, responsible young adults and I'm very proud of them. I made a lot of mistakes, like every other parent does, but the one thing I always did right was to
respect them and their minds. I've worked with children my entire life, and know that they DO think deeply about things, and they DO form their own opinions on matters. Any adult who thinks otherwise, and thinks that it's the adults job to "make" or "mold" them to "think the right things" is simply an adult who has not conveyed this
respect for children's thoughts, and thereby, children do not feel free to
share those thoughts with that adult. Believe me, they still have those thoughts. They just are sensitive in regards to which adults to share them with.