> Education powerfully influences lifetime earnings

Based on what? There is positive correlation between educational attainment and lifetime earnings, but that does not imply that education is an influencer. One reasonable explanation for that correlation is that one who has qualities and habits that allow them to do well in the education system are also qualities and habits that do well in the economy. Certainly, those with crippling disabilities or other life challenges that sees them do poorly in school are also understood to have no economic future due to those same disabilities/life challenges, so it seems we have an intuitive understanding of that to some degree.

To find influence we can't just pick a top economic performer at random and compare him to a poor economic performer. We need to find the same person with and without an education. Luckily we can essentially do that, to a close enough approximation, by looking at an average person in the past when people didn't seek education and an average person after seeking education became commonplace. Unluckily, primary school rose in prominence before we had good record keeping.

But, luckily, post-secondary education rose during the time where we started having great record keeping. Here's the thing: Incomes held stagnant during that time. Lifetime earnings did not increase for the individual after gaining a (post secondary) education. They made just as much when they didn't go to college. Those with high earnings were more likely to go to college by this time, sure, but that's not the same thing.

Despite the record keeping being poor, we do know that incomes did rise during the rise of primary and secondary education. So while a post-secondary education clearly has no impact on lifetime earnings, even if someone destined to have high lifetime earnings is likely to attend a post-secondary school, the effects of primary and secondary education remains less clear. However, during that time incomes continued to rise even when there was no meaningful change in the education received, so the correlation in that case is most likely just coincidence. There was a lot of economic change happening at that time that provides a much more reasonable explanation for why incomes were rising.