I think this perspective is belied by the vast over-subscription of free public education in places where it has previously been paid only[1] (at this point, mainly in Africa). It does seem like there is strong evidence that most children and parents recognize the value of education and are self-motivated to pursue it where it is accessible to them. I believe it follows that lowering cost and barriers to quality education will improve outcomes without a need to otherwise coerce participation.
[1] See, most recently, Zambia