The middle of August in New York usually means slim pickings for dance. So the debuts of two ballet companies at Lincoln Center on two consecutive August weekends would have stood out, even if the companies had not both been Chinese.

But they were: Guangzhou Ballet and Liaoning Ballet. This intrigued me and also made me wary. The Chinese ballet productions that have appeared at David H. Koch Theater in recent years have struck me as awfully high in melodrama and kitsch, conflating ballet with acrobatics, the choreography and music mired in formulas and clichés both Western and Chinese.

But then, in early August, the Chinese dance-theater production “Under Siege” came to the Koch, as part of the Mostly Mozart Festival. This wasn’t ballet, and it certainly had elements of kitsch and cliché, but its use of several Chinese traditions — high-level martial arts, borrowings from Beijing Opera, virtuosic pipa players — was freshly entertaining. Its modern, semi-Westernized adaptation of an ancient Chinese story basically worked.