According to the book by Ted Sennett, this show was taken off the air by the sponsor. It was not canceled due to censorship issues or low ratings. The TV show was SO successful, Admiral couldn't keep up with the demand for its products.
Of the 19 episodes produced, at least 18 survive as kinescope recordings. Thus making this one of the oldest live television series for which a near-complete run is preserved.
According to "Funny Man," the 2019 bio of Mel Brooks by Patrick McGilligan, Brooks wrote gags and contributed ideas to skits created by the main writers of the show, but never received onscreen credit. Brooks had known Caesar since the summer of 1940, when they were 14 and 18 years old, respectively, and working at neighboring resorts in The Catskills: Brooks as a teen staff member and Caesar as a sax player in a house band.
The 2019 biography of Mel Brooks by Patrick McGilligan also notes that a dancer in the show was a young Bob Fosse. Caesar, Brooks, and Fosse continued to hang out together in Chicago the summer of 1949 after the show was canceled, while Caesar had an eight-week booking to do a live comedy show in the Empire Room at the Palmer House, a historic 1875 hotel now owned by Hilton.