Asking “Is X a game?” (or worse yet, “Is X really a game?”) is not a useful question when done with the idea that there is a “right answer” one must find, although it can be useful as a mental exercise. Searching for a definition that exactly separates games from non-games is, for our purposes at least, not helpful, and finding such a definition is ultimately not possible.
from “Characteristics of Games,” by George Skaff Elias, Richard
Garfield, and K. Robert Gutschera
Now substitute “furry” for “game.”
(For their purposes, they say that anything people call a game is a game, which also works with the substitution.)