Generally, he does not intrude in other people's affairs unless he thinks it necessary to teach them the rudiments of classical proportion with one of his fables.
He usually comes into conflict with barbarians, bandits, and other people who are not classically educated, as well as various unscrupulous individuals who are intent on taking away his property.
Dorothy L. Sayers mentions Kai Lung and/or quotes from the books in several Lord Peter Wimsey novels, specifically Strong Poison, Gaudy Night and Busman's Honeymoon In "'He Cometh and He Passeth By!'"
by H. Russell Wakefield, one of the principal characters reads The Wallet of Kai-Lung before retiring to bed.
[2] Irene the Librarian quotes Kai Lung in Genevieve Cogman’s novel “The Secret Chapter”.