It's formula humor. Goes like this:
A)Set up a convenient sacred cow.
B)Conflict in town regarding the cow and one or more of the construction paper characters.
C)Hit the usual cliches and then carry it into an extreme.
D)End conflict with commonsense saving the day through accomodation.
actually you are wrong.
The conflict was the father's drinking problems, not the statue.
You really need to rewatch the episode.