The Southern and Northern Dynasties were full of crises, but the southern regime always existed. As for the Yuan Dynasty, it was also an imperial examination system, which relied on China's culture to select sinologists, become court officials and govern the world.
Of course, the sinicization of the Yuan Dynasty was not serious, so we are often not familiar with the history of the Yuan Dynasty, with many colors of grassland tribes. But from a cultural point of view, the inheritance of China culture has not been interrupted. It's just that the war has had a terrible impact.
After the Qing dynasty, sinicization was extremely serious. By the end of the Qing Dynasty, even Empress Dowager Cixi could not speak Manchu, but said a few auspicious words at most. She is totally from China at ordinary times, but she is no different from the old woman in China. The Qing dynasty was deeply integrated. Of course, there are still Manchu privileges, but it does not affect cultural inheritance.