It is more that education it is also income re line 106-107 “It is proposed that parents with more educational experience are more likely to make healthier food choices for their family” .
Remember the KQ-10 is made up of five subdomains (psychological well-being, autonomy and parent relation, social support and peers, and school environment) The fact is diet is no expected to change 3 of these KQ-3 subdomains and only one or two KQ-10 dimensions.