One of the major criticisms of the current school system is that it is built for an industrial society and thus prioritizes following not leading, waiting not action, acceptance of authority not personal initiative. Maybe. But some cultures are still agricultural based or industrial based. Should school systems be re-invented not only in post-industrial cultures but also in agricultural and industrial societies?

Yes. If we are serious about developing democracy, pluralism and openness. Understanding how society works and how to influence society are the building blocks of democracy. The first question we need to answer, then, is are we serious about democracy? If so, the inner working of school systems and the teaching methods need to be adopted so that citizens learn the importance of knowledge, citizenship and collaboration.