To add to what you've said, the classical economists can ultimately trace their economic theory back to Confucius via the physiocrats. The chain is Confucius -> Confucians during the early Han dynasty -> Francois Quesnay -> Adam Smith -> David Ricardo -> Karl Marx. Also, laissez-faire is just the physiocrats translating and applying wuwei to state involvement in economics. Wuwei, however, has far more application than laissez-faire and means different things depending on the Chinese school of philosophy (Confucian, Daoist, Legalist).