There is a difference between silly and fun, as the guy who wears a lampshade on his head at a party finds out.
I used to be in a lot of round robins -- stories where each writer added a page or a short chapter and then sent it on. This kind of writing was popular among both professionals and amateurs during the first two thirds of the 20th century -- there was a round robin by H. P. Lovecraft, Robert E. Howard, and Clark Ashton Smith (among others). Usually the round robins I was in would go two or three rounds, and then somebody would turn in a totally silly chapter, in which all the characters fall down a rabbit hole. I don't think any I was in ever ended, though the HPL, REH, CAS round robin not only ended, but was published.