Multiple covers of Lagrangians may be related to the following problem of the Fukaya category. Given a class in the Grothendieck group of $D^{b}Fuk(X)$ represented by a Lagrangian, one may ask if the primitive of this class is also represented by a Lagrangian. Such questions are related to the idempotent closure problem of $D^{b}Fuk(X)$ in Joyce’s program, which seems very delicate.