Thank you for your comment, income is most certainly important and we have now emphasised its importance in lines 419-428, 503-506, 533-537 and 550-555. We also have mentioned that parental education is being used as a proxy for SES lines 257-258 but we cannot infer anything about income as this was not measured, only parental education, not overall SES.
If income is not important than the paper should be the on home education level and home diet not home SES and home diet.