The show, which runs on the CBS All Access streaming channel, and is a spinoff of “The Good Wife,” often breaks from its plot for an animated musical short that digs into controversial political issues of the day with an explanatory style similar to “Schoolhouse Rock!” A theme of last Thursday’s episode was American companies that want to do business in China and the pressures they face to appease Chinese government censors. An animated short was created on that same theme.

But the short was pulled from the show at the request of CBS about two weeks before it was scheduled to stream, said Ms. King, who created the show with her husband, Robert King.

Jonathan Coulton, the songwriter who makes the shorts, said in an interview that this particular video started with the fact that “The Good Wife” had been banned in China, most likely because of an episode that showed a Chinese dissident character being tortured. (The spinoff “The Good Fight” has not been banned.)