This is one of those strips that relies on a character being very young and not quite grasping how the world works. These strips gradually lessen in number as Peanuts switches from being mostly about situations to which generic characters are exposed, to being more about characters with definite personalities and the ways they exhibit them.
At the moment, Schroeder is the character that leads the way in that direction. There are not very many generic musical prodigies in the world. Charlie Brown is also developing a definite personality, but there are still few strips using him that couldn't also be changed to feature some other character. Shermy is still (and would ever be) fairly generic. Patty's role as foil to Charlie Brown seems to be subsiding, and other than the occasional mud pie episode Violet doesn't tend to show a lot of individualistic behavior. Lucy, on the other hand, is a real hit and will only become more willful in the months to come.