Once a Creator's Pet has been identified, there are only a few ways to reliably
prevent the show from
Jumping the Shark.
Put on a Bus is the easiest, followed by
killing him off outright. Some shows may substitute
Ascend to a Higher Plane of Existence if his "pet" status gets absorbed into
canon. While it is at least possible for the Creator's Pet to be
Rescued from the Scrappy Heap, it's rare and takes considerable writing talent. Lastly, if the character is too important to get rid of, he could become
The Artifact.