Is there any laws regarding improvisational comedy? That seems the most directly analogous example, at least more so than sport.
The Performers' Right against having your performances copied might well apply, and if your (original-from-you) words are fixed in an electronic medium that becomes a form of Literary work, too. But those rights go to the individual performers/speakers, not the show creator/producer/director.
But there is no "improvisational comedy" section in the CDPA.