Well, no it doesn't. For example searching for 'healthy school food lifetime outcomes' on google scholar brings up one clearly related study [1], but it's paywalled. It's also about the UK, not US. And having found the study elsewhere [2] finds that many of their claimed benefits are only significant at the p<0.1 level, which, really.
It seems you expect me to spend 20 minutes validating each of your claims for you. I'm not going to produce your argument for you; if it's only your cached thought then just say so, it's fair enough. If you actually have studies backing your belief, it shouldn't be that hard for you to cite them.
