While it's true correlation doesn't neccessarily mean causation, there is STRONG correlation there, and the fact you can't find me a single successful country that has decided that home schooling for all is a good idea, is strong evidence that it's because successful countries realize it's not a viable option for all. 

If you have to live on peanut butter and ramen, it must be because you choose to be a stay at home mom and homeschool,  instead of working. That's on you, not the government who offers school for no extra cost.